Generic Existence of A Point of Coincidence For Nonlinear Mappings In A Metric Space
Minimax theory and its applications, Tome 10 (2025) no. 1
Since the seminal result of Banach [2] the fixed point theory of nonexpansive mappings has been a rapidly growing field of research. See [3, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 23, 24, 27, 28, 29, 32, 33] and the reference mentioned therein. A significant progress has been done, in particular, in studies of common fixed point problems, which have important applications in engineering and medical sciences [6, 7, 30, 32, 33]. The study of coincidence points of nonlinear mappings is an important topic of the fixed point theory [1, 4, 5, 13, 14, 15, 22].
Mots-clés :
Coincidence point, complete metric space, genericity, nonlinear mapping
@article{MTA_2025_10_1_a1,
author = {Alexander J. Zaslavski},
title = {Generic {Existence} of {A} {Point} of {Coincidence} {For} {Nonlinear} {Mappings} {In} {A} {Metric} {Space}},
journal = {Minimax theory and its applications},
year = {2025},
volume = {10},
number = {1},
url = {http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a1/}
}
Alexander J. Zaslavski. Generic Existence of A Point of Coincidence For Nonlinear Mappings In A Metric Space. Minimax theory and its applications, Tome 10 (2025) no. 1. http://geodesic.mathdoc.fr/item/MTA_2025_10_1_a1/