• DML-CZ Home

47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.) (84 articles)

• Tang, Yan; Promkam, Ratthaprom; Cholamjiak, Prasit; Sunthrayuth, Pongsakorn: Convergence results of iterative algorithms for the sum of two monotone operators in reflexive Banach spaces. (English). Applications of Mathematics, vol. 67 (2022), issue 2, pp. 129-152
• Jolaoso, Lateef O.; Mewomo, Oluwatosin T.: Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 3, pp. 277-312
• Ertürk, Müzeyyen; Gürsoy, Faik: Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators. (English). Mathematica Bohemica, vol. 144 (2019), issue 1, pp. 69-83
• Rashid, M.H.M.: Topological degree theory in fuzzy metric spaces. (English). Archivum Mathematicum, vol. 55 (2019), issue 2, pp. 83-96
• Bunlue, Nuttawut; Suantai, Suthep: Best proximity point for proximal Berinde nonexpansive mappings on starshaped sets. (English). Archivum Mathematicum, vol. 54 (2018), issue 3, pp. 165-176
• Moazzen, Alireza; Cho, Yoel-Je; Park, Choonkil; Eshaghi Gordji, Madjid: Some fixed point theorems in logarithmic convex structures. (English). Mathematica Bohemica, vol. 142 (2017), issue 1, pp. 1-7
• Poulios, Costas: The fixed point property in a Banach space isomorphic to $c_0$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 2, pp. 195-202
• Suvarnamani, Alongkot; Tatong, Mongkol: An extragradient approximation method for variational inequality problem on fixed point problem of nonexpensive mappings and monotone mappings. (English). Archivum Mathematicum, vol. 48 (2012), issue 1, pp. 45-59
• Pupka, Krzysztof: Fixed points of periodic and firmly lipschitzian mappings in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 4, pp. 573-579
• Beg, Ismat; Abbas, Mujahid: Invariant approximation for fuzzy nonexpansive mappings. (English). Mathematica Bohemica, vol. 136 (2011), issue 1, pp. 51-59
• Cavazos-Cadena, Rolando: Generalized communication conditions and the eigenvalue problem for a monotone and homogenous function. (English). Kybernetika, vol. 46 (2010), issue 4, pp. 665-683
• Sitthikul, Kittipong; Saejung, Satit: Convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 139-152
• Qin, Xiaolong; Kang, Shin Min; Su, Yongfu; Shang, Meijuan: Strong convergence of an iterative method for variational inequality problems and fixed point problems. (English). Archivum Mathematicum, vol. 45 (2009), issue 2, pp. 147-158
• Qin, Xiaolong; Kang, Shin Min; Shang, Meijuan: Strong convergence theorems of $k$-strict pseudo-contractions in Hilbert spaces. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 695-706
• Djebali, Smaïl; Hammache, Karima: Furi–Pera fixed point theorems in Banach algebras with applications. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 55-75
• Darwish, Mohamed Abdalla: On monotonic solutions of an integral equation of Abel type. (English). Mathematica Bohemica, vol. 133 (2008), issue 4, pp. 407-420
• Kumam, Poom; Plubtieng, Somyot: The characteristic of noncompact convexity and random fixed point theorem for set-valued operators. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 269-279
• Crombez, G.: A sequential iteration algorithm with non-monotoneous behaviour in the method of projections onto convex sets. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 491-506
• Imoru, C. O.; Olatinwo, M. O.: Some stability theorems for some iteration processes. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 81-88
• Górnicki, Jarosław; Pupka, Krzysztof: Fixed point theorems for $n$-periodic mappings in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 1, pp. 33-42
• Beg, Ismat; Abbas, Mujahid: Fixed points and best approximation in Menger convex metric spaces. (English). Archivum Mathematicum, vol. 41 (2005), issue 4, pp. 389-397
• Sahu, D. R.: Fixed points of demicontinuous nearly Lipschitzian mappings in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 4, pp. 653-666
• Caballero, J.; O'Regan, D.; Sadarangani, K. B.: On monotonic solutions of some integral equations. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 325-338
• Liu, Zeqing; Agarwal, Ravi P.; Feng, Chi; Kang, Shin Min: Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 83-96
• Kumam, Poom: Fixed point theorems for nonexpansive mappings in modular spaces. (English). Archivum Mathematicum, vol. 40 (2004), issue 4, pp. 345-353
• Huang, Jui-Chi: On common fixed points of asymptotically nonexpansive mappings in the intermediate sense. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 1055-1063
• Jung, Jong Soo; Sahu, Daya Ram: Dual convergences of iteration processes for nonexpansive mappings in Banach spaces. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 397-404
• Gunawardena, Jeremy; Walsh, Cormac: Iterates of maps which are non-expansive in Hilbert's projective metric. (English). Kybernetika, vol. 39 (2003), issue 2, pp. [193]-204
• Crombez, Gilbert: Non-monotoneous parallel iteration for solving convex feasibility problems. (English). Kybernetika, vol. 39 (2003), issue 5, pp. [547]-560
• Bolibok, Krzysztof: A remark on the minimal displacement problem in spaces uniformly rotund in every direction. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 85-90
• Appell, Jürgen: A la recherche du spectre perdu: An invitation to nonlinear spectral theory. (English). In: Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, July 17-22, 2002. Vol. 7. Czech Academy of Sciences, Mathematical Institute, Praha, 2003. pp. 1-20
• Bugajewski, Dariusz: On fixed point theorems for absolute retracts. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 459-467
• Bugajewski, Dariusz: On the Volterra integral equation and axiomatic measures of weak noncompactness. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 183-190
• Šeda, Valter: A remark to the paper “On condensing discrete dynamical systems”. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 551-553
• Gabor, Dorota: The generalized coincidence index --- application to a boundary value problem. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 447-460
• Šeda, Valter: On condensing discrete dynamical systems. (English). Mathematica Bohemica, vol. 125 (2000), issue 3, pp. 275-306
• Jung, Jong Soo; Cho, Yeol Je; Kang, Shin Min; Lee, Byung Soo; Thakur, Balwant Singh: Random fixed point theorems for a certain class of mappings in Banach spaces. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 379-396
• Appell, Jürgen; Conti, G.; Santucci, P.: Alcune osservazioni sul rango numerico per operatori non lineari. (Italian) [Some remarks on numerical ranges for nonlinear operators]. Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 185-192
• Appell, Jürgen: Ein „merkwürdiges” Spektrum für nichtlineare Operatoren. (German) [A "strange" spectrum for nonlinear operators]. Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 221-229
• Ćirić, Ljubomir B.: A new class of nonexpansive type mappings and fixed points. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 891-899
• Górnicki, Jarosław: Remarks on fixed points of rotative Lipschitzian mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 495-510
• Chang, S. S.; Chen, Y. Q.; Cho, Y. J.; Lee, B. S.: Fixed point theorems for nonexpansive operators with dissipative perturbations in cones. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 49-54
• O'Regan, Donal: Fixed point theory for compact perturbations of pseudocontractive maps. (English). Archivum Mathematicum, vol. 34 (1998), issue 3, pp. 401-415
• Sharma, B. K.; Sahu, D. R.: Firmly pseudo-contractive mappings and fixed points. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 101-108
• El-Sayed, Wagdy Gomaa; Fraczek, Krzysztof: Remarks on some properties in the geometric theory of Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 17-22
• Alex, Holger; Hahn, Siegfried; Kaniok, Lothar: The fixed point index for noncompact mappings in non locally convex topological vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 249-257
• Alex, Holger: On local and global injectivity of noncompact vector fields in non necessarily locally convex vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 239-248
• Stein, J. D., Jr.: Some observations on local uniform boundedness principles. II. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 47-63
• Matkowski, Janusz; Merentes, Nelson: Characterization of globally Lipschitzian composition operators in the Banach space ${\rm BV}\sb p\sp 2[a,b]$. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 181-186
• Banaś, Józef; Martinon, Antonio: Measures of noncompactness in Banach sequence spaces. (English). Mathematica Slovaca, vol. 42 (1992), issue 4, pp. 497-503
• Morales, Claudio H.: Multivalued pseudo-contractive mappings defined on unbounded sets in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 625-630
• Cichoń, Mieczysław: Non-compact perturbations of $m$-accretive operators in general Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 403-409
• Verma, Ram U.: Numerical range and related nonlinear functional equations. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 503-513
• Crombez, G.: Parallel methods in image recovery by projections onto convex sets. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 3, pp. 445-450
• Pietramala, Paolamaria: Convergence of approximating fixed points sets for multivalued nonexpansive mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 4, pp. 697-701
• Schu, Jürgen: Iterative approximation of fixed points of nonexpansive mappings with starshaped domain. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 277-282
• Kaniok, Lothar: On measures of noncompactness in general topological vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 479-487
• Januszewski, Janusz: On the Hammerstein integral equations in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 685-691
• Šeda, Valter: Surjectivity of an operator. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 1, pp. 46-63
• Schmidt, Sabina: Representation of the Hausdorff measure of noncompactness in special Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 733-735
• Górnicki, Jarosław: Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 249-252
• Kuczumow, Tadeusz; Stachura, Adam: Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 399-402
• Kuczumow, Tadeusz; Stachura, Adam: Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 403-410
• Górnicki, Jarosław: Uniformly normal structure and fixed points of uniformly Lipschitzian mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 481-489
• Hahn, Siegfried: Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen. (German) [Fixed point theorems for limit compact set valued maps in non necessarily locally convex topological vector spaces]. Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 189-204
• Dawidowski, Marian: On the existence of bounded solutions of differential equations in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 611-617
• Szufla, Stanisław: Appendix to the paper: “An existence theorem for the Urysohn integral equation in Banach spaces”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 4, pp. 763-764
• Szufla, Stanisław: An existence theorem for the Urysohn integral equation in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 1, pp. 19-27
• Naimpally, S. A.; Singh, K. L.; Whitfield, J. H. M.: Common fixed points for nonexpansive and asymptotically nonexpansive mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 2, pp. 287-300
• Balachandran, K.; Somasundaram, D.: Controllability of a class of nonlinear systems with distributed delays in control. (English). Kybernetika, vol. 19 (1983), issue 6, pp. 475-482
• Webb, J. R. L.: Approximation solvability of nonlinear equations. (English). In: John, Oldřich and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Písek, 1982. Vol. 2. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 234-257
• Rhoades, Billy E.; Singh, K. L.; Whitfield, J. H. M.: Fixed points for generalized nonexpansive mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 3, pp. 443-451
• Banaś, Józef; Hajnosz, Andrzej; Wedrychowicz, Stanisław: On the equation $x' = f(t, x)$ in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 2, pp. 233-247
• Jerofsky, Thomas: Das Eigenwerttheorem von Krasnoselski für $k$-kondensierende Abbildungen. (German) [The eigenvalue theorem of Krasnoselski for $k$-set contraction mappings]. Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 2, pp. 413-427
• Banaś, Józef; Stopka, Urszula: The existence and some properties of solutions of a differential equation with deviated argument. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 525-536
• Hahn, Siegfried: Homöomorphieaussagen für $k$-verdichtende Vektorfelder. (German) [A theorem on homeomorphism of $k$-set contractive vector fields]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 563-572
• Meister, H.: Zum Fixpunktverhalten nichtexpansiver Abbildungen. (German) [On behaviour of fixed points of nonexpansive mappings]. Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 2, pp. 319-331
• Milojević, Petronije S.: Fredholm alternatives and surjectivity results for multivalued $A$-proper and condensing mappings with applications to nonlinear integral and differential equations. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 3, pp. 387-417
• Abts, Dietmar: On injective holomorphic Fredholm mappings of index 0 in complex Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 513-525
• Banaś, Józef: On measures of noncompactness in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 1, pp. 131-143
• Reich, Simeon; Torrejón, Ricardo: Zeros of accretive operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 3, pp. 619-625
• Hahn, Siegfried: Eigenwertaussagen für kompakte und kondensierende mengenwertige Abbildungen in topologischen Vektorräumen. (German) [Eigenvalue theorems for compact and condensing set-valued maps in topological vector spaces]. Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 123-141
• Hahn, Siegfried: Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen. (German) [A perturbation theorem for positive eigenvalues of condensing set-valued mappings in locally convex spaces]. Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 3, pp. 417-430
• Morales, Claudio H.: Pseudo-contractive mappings and the Leray-Schauder boundary condition. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 4, pp. 745-756