A fixed point theorem for non-self multi-maps in metric spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 251-258
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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].
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].
Classification :
47H04, 47H10, 54C60, 54H25
Keywords: metrically convex metric space; multi-valued non-self map; fixed point
Keywords: metrically convex metric space; multi-valued non-self map; fixed point
@article{CMUC_1999_40_2_a5,
author = {Dhage, B. C.},
title = {A fixed point theorem for non-self multi-maps in metric spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {251--258},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732645},
zbl = {0983.47034},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a5/}
}
Dhage, B. C. A fixed point theorem for non-self multi-maps in metric spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 251-258. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a5/