Title:
|
Function Lipschitzian mappings on convex metric spaces (English) |
Author:
|
Turinici, Mihai |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
22 |
Issue:
|
2 |
Year:
|
1981 |
Pages:
|
289-303 |
. |
Category:
|
math |
. |
MSC:
|
49A51 |
MSC:
|
54C10 |
MSC:
|
54E40 |
MSC:
|
54E99 |
MSC:
|
54F05 |
MSC:
|
54H20 |
MSC:
|
58C15 |
idZBL:
|
Zbl 0497.54010 |
idMR:
|
MR620364 |
. |
Date available:
|
2008-06-05T21:08:06Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106075 |
. |
Reference:
|
[1] M. ALTMAN: Contractor directions, directional contractors ani directional contractions for solving equations.Pacific J. Math. 62 (1976), 1-18. MR 0473939 |
Reference:
|
[2] J. P. AUBIN J. SIEGEL: Fixed points and stationary points of dissipative multivalued maps.Proc. Amer. Math. Soc. 73 (1980), 391-398. MR 0553382 |
Reference:
|
[3] P. N. BAJAJ: Some aspects of semi-dynamical systems theory.Ph.D. Thesis, Case Western Reserve Univ. 1968. |
Reference:
|
[4] V. BARBU: Nonlinear semigroups and differential equations in Banach spaces.Ed. Acad, Bucuresti, Noordhoff, 1976. Zbl 0328.47035, MR 0390843 |
Reference:
|
[5] N. P. BHATIA G. P. SZEGÖ: Stability theory of dynamical systems.Springer Verlag, 1970. MR 0289890 |
Reference:
|
[6] E. BISHOP R. R. PHELPS: The support functionals of a convex set.Proc. Symp. Pure Math., vol. VII (Convexity) pp. 27-36, Amer. Math. Soc, 1963. MR 0154092 |
Reference:
|
[7] L. S. BLUMENTHAL: Theory and application of distance geometry.Clarendon Press, Oxford, 193B. |
Reference:
|
[8] H. BREZIS F. E. BROWDER: A general principle on ordered sets in nonlinear functional analysis.Adv. in Math. 21 (1976), 355-364. MR 0425688 |
Reference:
|
[9] A. BRØNSTED: On a lemma of Bishop and Phelps.Pacific J. Math. 55 (1974), 335-341. MR 0380343 |
Reference:
|
[10] A. BRØNSTED: Common fixed points and partial orders.Proc. Amer. Math. Soc. 77 (1979), 365-368. MR 0545597 |
Reference:
|
[11] F. E. BROWDER: On a theorem of Caristi and Kirk.Fixed Point Theory and its Applications, pp. 23-27, Academic Press, 1976. Zbl 0379.54016, MR 0461474 |
Reference:
|
[12] J. CARISTI: Fixed point theorems for mappings satisfying inwardness conditions.Trans. Amer. Math. Soc. 215 (1976), 241-251. Zbl 0305.47029, MR 0394329 |
Reference:
|
[13] F. H. CLARKE: Pointwise contraction criteria for the existence of fixed points.Canad. Math. Bull. 21 (1978), 7-11. Zbl 0414.54030, MR 0482714 |
Reference:
|
[14] M. G. CRANDALL A. PAZY: Semi-gгoups of nonlinear contractions and dissipative sets.J. Funct. Analysis 3 (1969), 376-418. MR 0243383 |
Reference:
|
[15] D. DOWNING: Nonlinear mapping theory and the contimation of solutions of equations under homotopy.J. Nonlinear Analysis, TMA 4 (1980), 27-30. MR 0557609 |
Reference:
|
[16] D. DOWNING W. A. KIRK: A generalization of Caristi's theorem with application to nonlinear mapping theory.Pacific J. Math. 69 (1977), 339-346. MR 0440426 |
Reference:
|
[17] I. EKELAND: On the variational principle.J. Math. Anal. Appl. 47 (1974), 324-353. Zbl 0286.49015, MR 0346619 |
Reference:
|
[18] I. EKELAND: Nonconvex minimization pгoblems.Bull. Amer. Math. Soc. (N.S.) 1 (1979), 443-474. MR 0526967 |
Reference:
|
[19] S. A. HUSAIN V. M. SEHGAL: A remark on a fixed point theorem of Caristi.Math. Japonica 25 (1980), 27-30. MR 0571258 |
Reference:
|
[20] S. KASAHARA: On fixed points in partially ordered setв and Kirk-Caristi theorem.Math. Sem. Notes Kobe Univ. 3 (1975), 229-232. MR 0405396 |
Reference:
|
[21] W. A. KIRK: Caristi's fixed point theoгem and metric convexity.Colloq. Math. 36 (1976), 81-86. MR 0436111 |
Reference:
|
[22] W. A. KIRK W. O. RAY: A remark on directional contractions.Proc. Amer. Math. Soc. 66 (1977), 279-283. MR 0454755 |
Reference:
|
[23] J. SIEGEL: A new proof of Caristi's fixed point theorem.Proc. Amer. Math. Soc. 66 (1977), 54-56. Zbl 0369.54022, MR 0458403 |
Reference:
|
[24] M. TURINICI: Maximal elements in partially ordered topological spaces and applications.An. St. Univ. "Al. I. Cuza" Iaşi 24 (1978), 259-264. MR 0533753 |
Reference:
|
[25] M. TURINICI: Maximal elements in ordered topological spaces.Bull. Greek Math. Soc., to appear. Zbl 0452.54024, MR 0642437 |
Reference:
|
[26] M. TURINICI: Drop theorems and lipschitzianness tests via maximality procedures.Acta Math. Acad. Sci. Hung., to appear. Zbl 0442.46005, MR 0653668 |
Reference:
|
[27] J. D. WESTON: A characterization of metric completeness.Proc. Amer. Math. Soc. 64 (1977), 186-188. Zbl 0368.54007, MR 0458359 |
Reference:
|
[28] C. S. WONG: On a fixed point theorem of contractive type.Proc. Amer. Math. Soc. 57 (1976), 283-284. Zbl 0329.54042, MR 0407826 |
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