Fixed point theorems for multivalued mappings

Le Van Hot

Commentationes Mathematicae Universitatis Carolinae (1982)

  • Volume: 023, Issue: 1, page 137-145
  • ISSN: 0010-2628

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Le Van Hot. "Fixed point theorems for multivalued mappings." Commentationes Mathematicae Universitatis Carolinae 023.1 (1982): 137-145. <http://eudml.org/doc/17167>.

@article{LeVanHot1982,
author = {Le Van Hot},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point theorems; multivalued contractive and nonexpansive mappings},
language = {eng},
number = {1},
pages = {137-145},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Fixed point theorems for multivalued mappings},
url = {http://eudml.org/doc/17167},
volume = {023},
year = {1982},
}

TY - JOUR
AU - Le Van Hot
TI - Fixed point theorems for multivalued mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1982
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 023
IS - 1
SP - 137
EP - 145
LA - eng
KW - fixed point theorems; multivalued contractive and nonexpansive mappings
UR - http://eudml.org/doc/17167
ER -

References

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  1. H. BRÉZIS F. BROWDER, A general ordering principle in nonlinear functional analysis, Advances in Math. 21 (1976), 355-364. (1976) MR0425688
  2. J. CARISTI, Fixed point theorems for mappings satisfying inwardness condition, Trans. Amer. Math. Soc. 215 (1976), 241-251. (1976) MR0394329
  3. I. EKELAND, Nonconvex minimization problems, Bull. Amer. Math. Soc. (New Series) 1 (1979), 443-474. (1979) Zbl0441.49011MR0526967
  4. W. A. KIRK, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1005. (1965) MR0189009
  5. E. LAMI-DOZO, Multivalued nonexpansive mappings and Opial's condition, Proc. Amer. Math. Soc. 38 (1973), 286-292. (1973) Zbl0268.47060MR0310718
  6. M. MASCHLER B. PELEG, Stable sets and stable points of multivalued dynamic systems, SIAM J. Control 14 (1976), 985-995. (1976) MR0436101
  7. S. B. NADLER, Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969), 475-480. (1969) MR0254828
  8. J. P. PENOT, A short constructive proof of Caristi'a fixed point theorem, preprint. 
  9. H. H. SCHAEFER, Topological vector spaces, Springer-Verlag, Berlin, 1971. (1971) Zbl0217.16002MR0342978

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