Function Lipschitzian mappings on convex metric spaces
Commentationes Mathematicae Universitatis Carolinae (1981)
- Volume: 022, Issue: 2, page 289-303
- ISSN: 0010-2628
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topTurinici, Mihai. "Function Lipschitzian mappings on convex metric spaces." Commentationes Mathematicae Universitatis Carolinae 022.2 (1981): 289-303. <http://eudml.org/doc/17108>.
@article{Turinici1981,
author = {Turinici, Mihai},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lipschitzianness; contractive semidynamical system; complete metrically convex metric space; sequentially complete metrizable uniform space; directionally F-lipschitzian mapping; directionally closed map},
language = {eng},
number = {2},
pages = {289-303},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Function Lipschitzian mappings on convex metric spaces},
url = {http://eudml.org/doc/17108},
volume = {022},
year = {1981},
}
TY - JOUR
AU - Turinici, Mihai
TI - Function Lipschitzian mappings on convex metric spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 2
SP - 289
EP - 303
LA - eng
KW - Lipschitzianness; contractive semidynamical system; complete metrically convex metric space; sequentially complete metrizable uniform space; directionally F-lipschitzian mapping; directionally closed map
UR - http://eudml.org/doc/17108
ER -
References
top- M. ALTMAN, Contractor directions, directional contractors ani directional contractions for solving equations, Pacific J. Math. 62 (1976), 1-18. (1976) MR0473939
- J. P. AUBIN J. SIEGEL, Fixed points and stationary points of dissipative multivalued maps, Proc. Amer. Math. Soc. 73 (1980), 391-398. (1980) MR0553382
- P. N. BAJAJ, Some aspects of semi-dynamical systems theory, Ph.D. Thesis, Case Western Reserve Univ. 1968. (1968)
- V. BARBU, Nonlinear semigroups and differential equations in Banach spaces, Ed. Acad, Bucuresti, Noordhoff, 1976. (1976) Zbl0328.47035MR0390843
- N. P. BHATIA G. P. SZEGÖ, Stability theory of dynamical systems, Springer Verlag, 1970. (1970) MR0289890
- 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. (1963) MR0154092
- L. S. BLUMENTHAL, Theory and application of distance geometry, Clarendon Press, Oxford, 193B. (193B)
- H. BREZIS F. E. BROWDER, A general principle on ordered sets in nonlinear functional analysis, Adv. in Math. 21 (1976), 355-364. (1976) MR0425688
- A. BRØNSTED, On a lemma of Bishop and Phelps, Pacific J. Math. 55 (1974), 335-341. (1974) MR0380343
- A. BRØNSTED, Common fixed points and partial orders, Proc. Amer. Math. Soc. 77 (1979), 365-368. (1979) MR0545597
- F. E. BROWDER, On a theorem of Caristi and Kirk, Fixed Point Theory and its Applications, pp. 23-27, Academic Press, 1976. (1976) Zbl0379.54016MR0461474
- J. CARISTI, Fixed point theorems for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241-251. (1976) Zbl0305.47029MR0394329
- F. H. CLARKE, Pointwise contraction criteria for the existence of fixed points, Canad. Math. Bull. 21 (1978), 7-11. (1978) Zbl0414.54030MR0482714
- M. G. CRANDALL A. PAZY, Semi-gгoups of nonlinear contractions and dissipative sets, J. Funct. Analysis 3 (1969), 376-418. (1969) MR0243383
- D. DOWNING, Nonlinear mapping theory and the contimation of solutions of equations under homotopy, J. Nonlinear Analysis, TMA 4 (1980), 27-30. (1980) MR0557609
- D. DOWNING W. A. KIRK, A generalization of Caristi's theorem with application to nonlinear mapping theory, Pacific J. Math. 69 (1977), 339-346. (1977) MR0440426
- I. EKELAND, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324-353. (1974) Zbl0286.49015MR0346619
- I. EKELAND, Nonconvex minimization pгoblems, Bull. Amer. Math. Soc. (N.S.) 1 (1979), 443-474. (1979) MR0526967
- S. A. HUSAIN V. M. SEHGAL, A remark on a fixed point theorem of Caristi, Math. Japonica 25 (1980), 27-30. (1980) MR0571258
- S. KASAHARA, On fixed points in partially ordered setв and Kirk-Caristi theorem, Math. Sem. Notes Kobe Univ. 3 (1975), 229-232. (1975) MR0405396
- W. A. KIRK, Caristi's fixed point theoгem and metric convexity, Colloq. Math. 36 (1976), 81-86. (1976) MR0436111
- W. A. KIRK W. O. RAY, A remark on directional contractions, Proc. Amer. Math. Soc. 66 (1977), 279-283. (1977) MR0454755
- J. SIEGEL, A new proof of Caristi's fixed point theorem, Proc. Amer. Math. Soc. 66 (1977), 54-56. (1977) Zbl0369.54022MR0458403
- M. TURINICI, Maximal elements in partially ordered topological spaces and applications, An. St. Univ. "Al. I. Cuza" Iaşi 24 (1978), 259-264. (1978) MR0533753
- M. TURINICI, Maximal elements in ordered topological spaces, Bull. Greek Math. Soc., to appear. Zbl0452.54024MR0642437
- M. TURINICI, Drop theorems and lipschitzianness tests via maximality procedures, Acta Math. Acad. Sci. Hung., to appear. Zbl0442.46005MR0653668
- J. D. WESTON, A characterization of metric completeness, Proc. Amer. Math. Soc. 64 (1977), 186-188. (1977) Zbl0368.54007MR0458359
- C. S. WONG, On a fixed point theorem of contractive type, Proc. Amer. Math. Soc. 57 (1976), 283-284. (1976) Zbl0329.54042MR0407826
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