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47J25 Methods for solving nonlinear operator equations (general) (58 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
• Yin, Lulu; Liu, Hongwei; Yang, Jun: Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities. (English). Applications of Mathematics, vol. 67 (2022), issue 3, pp. 273-296
• Benkhira, El-Hassan; Fakhar, Rachid; Mandyly, Youssef: A convergence result and numerical study for a nonlinear piezoelectric material in a frictional contact process with a conductive foundation. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 87-113
• 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
• Cholamjiak, Prasit; Shehu, Yekini: Inertial forward-backward splitting method in Banach spaces with application to compressed sensing. (English). Applications of Mathematics, vol. 64 (2019), issue 4, pp. 409-435
• Jolaoso, L.O.; Abass, H.A.; Mewomo, O.T.: A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space. (English). Archivum Mathematicum, vol. 55 (2019), issue 3, pp. 167-194
• Chen, Pengyu; Li, Yongxiang: Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 99-120
• Dang, Yazheng; Gao, Yan: A new simultaneous subgradient projection algorithm for solving a multiple-sets split feasibility problem. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 37-51
• Argyros, Ioannis K.; Hilout, Saïd: Extending the applicability of Newton's method using nondiscrete induction. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 1, pp. 115-141
• 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
• Bosede, Alfred Olufemi: Stability of Noor Iteration for a General Class of Functions in Banach Spaces. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 19-25
• 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
• Verma, Ram U.: General implicit variational inclusion problems involving $A$-maximal relaxed accretive mappings in Banach spaces. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 171-177
• 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
• Argyros, Ioannis K.; Hilout, Said: On a secant-like method for solving generalized equations. (English). Mathematica Bohemica, vol. 133 (2008), issue 3, pp. 313-320
• Olatinwo, Memudu Olaposi: A result on segmenting Jungck–Mann iterates. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 115-119
• 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
• Sastry, K. P. R.; Babu, G. V. R.: Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 817-826
• Argyros, Ioannis K.: New sufficient convergence conditions for the secant method. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 175-187
• 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
• 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
• Janovský, V.; Liberda, O.: Continuation of invariant subspaces via the Recursive Projection Method. (English). Applications of Mathematics, vol. 48 (2003), issue 4, pp. 241-255
• Ansorge, Rainer: Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 417-427
• 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
• Beg, Ismat: An iteration process for nonlinear mappings in uniformly convex linear metric spaces. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 405-412
• Crombez, Gilbert: Non-monotoneous parallel iteration for solving convex feasibility problems. (English). Kybernetika, vol. 39 (2003), issue 5, pp. [547]-560
• Ćirić, Lj. B.; Ume, J. S.; Khan, M. S.: On the convergence of the Ishikawa iterates to a common fixed point of two mappings. (English). Archivum Mathematicum, vol. 39 (2003), issue 2, pp. 123-127
• 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
• Argyros, Ioannis K.: Local convergence theorems of Newton’s method for nonlinear equations using outer or generalized inverses. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 603-614
• 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
• Axelsson, Owe: On mesh independence and Newton-type methods. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 249-265
• Chen, Dong: Ostrowski-Kantorovich theorem and $S$-order of convergence of Halley method in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 153-163
• Scherzer, Otmar: A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 479-487
• Argyros, Ioannis K.: On an application of a Newton-like method to the approximation of implicit functions. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 339-347
• Fečkan, Michal: Small functions and iterative methods. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 589-595
• Argyros, Ioannis K.: Error bounds for the secant method. (English). Mathematica Slovaca, vol. 41 (1991), issue 1, pp. 69-82
• Feireisl, Eduard: Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 192-208
• Kolomý, Josef: On accretive multivalued mappings in Banach spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 701-710
• Bremer, I.; Schneider, Klaus R.: A remark on solving large systems of equations in function spaces. (English). Aplikace matematiky, vol. 35 (1990), issue 6, pp. 494-498
• Voller, Rudolf L.: Iterative Einschliessungen von Lösungen nichtlinearer Differentialgleichungen durch Newton-ähnliche Iterationsverfahren. (German) [Iterative inclusions of solutions of nonlinear differential equations by Newton-like iteration methods]. Aplikace matematiky, vol. 31 (1986), issue 1, pp. 1-18
• Collatz, Lothar: Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben. (German) [Some applications of the multidimensional approximation theory for the inclusion of solutions of boundary value problems]. In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [367]-372
• Le Van Hot: A fixed point theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 2, pp. 299-308
• Mawhin, Jean: Boundary value problems with nonlinearities having infinite jumps. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 401-414
• Mandel, Jan: A convergent nonlinear splitting via orthogonal projection. (English). Aplikace matematiky, vol. 29 (1984), issue 4, pp. 250-257
• Krejčí, Pavel: Hard implicit function theorem and small periodic solutions to partial differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 519-536
• Schneider, Norbert: Some remarks about the monotone inclusion for solutions of nonlinear equations by regula-falsi-like methods. (English). Aplikace matematiky, vol. 28 (1983), issue 1, pp. 21-31
• 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
• Turinici, Mihai: Constant and variable drop theorems on metrizable locally convex spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 2, pp. 383-398
• Brezzi, Franco: Numerical imperfections near a critical point. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 58-63
• Potra, Florian Alexandru: The rate of convergence of a modified Newton's process. (English). Aplikace matematiky, vol. 26 (1981), issue 1, pp. 13-17
• Petzeltová, Hana: Remark on a Newton-Moser type method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 719-725
• Döring, Boro: Iterative Lösung gewisser Randwertprobleme und Integralgleichungen. (German) [Iterative solution of certain boundary value problems and integral equations]. Aplikace matematiky, vol. 24 (1979), issue 1, pp. 1-31
• Sibony, Moïse: Sur une méthode itérative de résolution de problèmes aux limites elliptiques non linéaires. (French) [On an iterative method to solve nonlinear elliptic problems]. Aplikace matematiky, vol. 22 (1977), issue 4, pp. 291-300
• Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír: Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 1, pp. 191-195
• Kolomý, Josef: Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 2, pp. 413-418