Equivalence of some geometric and related results of nonlinear functional analysis

Josef Daneš

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 3, page 443-454
  • ISSN: 0010-2628

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Daneš, Josef. "Equivalence of some geometric and related results of nonlinear functional analysis." Commentationes Mathematicae Universitatis Carolinae 026.3 (1985): 443-454. <http://eudml.org/doc/17397>.

@article{Daneš1985,
author = {Daneš, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generalized drop theorem; Krasnoselskij-Zabreǐko renorming theorem; Bishop-Phelps theorem; Ekeland's variational principle; Caristi fixed point theorem},
language = {eng},
number = {3},
pages = {443-454},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Equivalence of some geometric and related results of nonlinear functional analysis},
url = {http://eudml.org/doc/17397},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Daneš, Josef
TI - Equivalence of some geometric and related results of nonlinear functional analysis
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 3
SP - 443
EP - 454
LA - eng
KW - generalized drop theorem; Krasnoselskij-Zabreǐko renorming theorem; Bishop-Phelps theorem; Ekeland's variational principle; Caristi fixed point theorem
UR - http://eudml.org/doc/17397
ER -

References

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  1. BRÉZIS H., BROWDER F. E., A general prinoiple on ordered sest in nonlinear functional analysis, Advances in Math. 21 (1976), 355-364. (1976) MR0425688
  2. CARISTI J., Fixed point theorms for mappings satisfying inwardness conditions, Trans. Amer. Math. Soc. 215 (1976), 241-251. (1976) MR0394329
  3. CARISTI J., KIRK W. A., Mapping theorems in metric and Banach spaces, Bull. Acad. Polon. Sci. 23 (1975), 891-894. (1975) Zbl0313.47041MR0385654
  4. DANEŠ J., A geometric theorem useful in nonlinear functional analysis, Boll. Un. Mat. Ital. 6 (1972), 369-375. (1972) MR0317130
  5. EKELAND I., On the variational principle, J. Math. Anal. Appl. 47 (1974), 324-353. (1974) Zbl0286.49015MR0346619
  6. ZABREĬKO P. P., KRASNOSELSKIĬ M. A., On the solvability of nonlinear operator equations, Funkcional. Anal. i Přilož. 5 (1971), 42-44 (in Russian). (1971) MR0283646

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