Cyclic pairs and common best proximity points in uniformly convex Banach spaces

Moosa Gabeleh, et al. "Cyclic pairs and common best proximity points in uniformly convex Banach spaces." Open Mathematics 15.1 (2017): 711-723. <http://eudml.org/doc/288338>.

@article{MoosaGabeleh2017,
abstract = {In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach spaces. Finally, we provide an extension of Edelstein’s fixed point theorem in strictly convex Banach spaces. Examples are given to illustrate our main conclusions.},
author = {Moosa Gabeleh, P. Julia Mary, A.Anthony Eldred Eldred, Olivier Olela Otafudu},
journal = {Open Mathematics},
keywords = {Common best proximity point; Best proximity pair; Cyclic contraction; Uniformly convex Banach space},
language = {eng},
number = {1},
pages = {711-723},
title = {Cyclic pairs and common best proximity points in uniformly convex Banach spaces},
url = {http://eudml.org/doc/288338},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Moosa Gabeleh
AU - P. Julia Mary
AU - A.Anthony Eldred Eldred
AU - Olivier Olela Otafudu
TI - Cyclic pairs and common best proximity points in uniformly convex Banach spaces
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 711
EP - 723
AB - In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach spaces. Finally, we provide an extension of Edelstein’s fixed point theorem in strictly convex Banach spaces. Examples are given to illustrate our main conclusions.
LA - eng
KW - Common best proximity point; Best proximity pair; Cyclic contraction; Uniformly convex Banach space
UR - http://eudml.org/doc/288338
ER -