A fixed point theorem for non-self multi-maps in metric spaces
Commentationes Mathematicae Universitatis Carolinae (1999)
- Volume: 40, Issue: 2, page 251-258
- ISSN: 0010-2628
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topDhage, Bapurao Chandra. "A fixed point theorem for non-self multi-maps in metric spaces." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 251-258. <http://eudml.org/doc/248433>.
@article{Dhage1999,
abstract = {A fixed point theorem is proved for non-self multi-valued mappings in a metrically convex complete metric space satisfying a slightly stronger contraction condition than in Rhoades [3] and under a weaker boundary condition than in Itoh [2] and Rhoades [3].},
author = {Dhage, Bapurao Chandra},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {metrically convex metric space; multi-valued non-self map; fixed point; metrically convex metric space; multi-valued non-self map; fixed point},
language = {eng},
number = {2},
pages = {251-258},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A fixed point theorem for non-self multi-maps in metric spaces},
url = {http://eudml.org/doc/248433},
volume = {40},
year = {1999},
}
TY - JOUR
AU - Dhage, Bapurao Chandra
TI - A fixed point theorem for non-self multi-maps in metric spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 2
SP - 251
EP - 258
AB - A fixed point theorem is proved for non-self multi-valued mappings in a metrically convex complete metric space satisfying a slightly stronger contraction condition than in Rhoades [3] and under a weaker boundary condition than in Itoh [2] and Rhoades [3].
LA - eng
KW - metrically convex metric space; multi-valued non-self map; fixed point; metrically convex metric space; multi-valued non-self map; fixed point
UR - http://eudml.org/doc/248433
ER -
References
top- Blumenthal L.M., Theory and Applications of Distance Geometry, Clarendon Press, Oxford, 1943. Zbl0208.24801MR0054981
- Itoh S., Multi-valued generalized contraction and fixed point theorems, Comment. Math. Univ. Carolinae 18 (1977), 247-248. (1977) MR0451227
- Rhoades B.E., A fixed point theorem for a multi-valued non-self mappings, Comment. Math. Univ. Carolinae 37 (1996), 401-404. (1996) MR1399013
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