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

Moosa Gabeleh; P. Julia Mary; A.Anthony Eldred Eldred; Olivier Olela Otafudu

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 711-723
- ISSN: 2391-5455

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topMoosa 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 -

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