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

• Autorzy: Moosa Gabeleh , P. Julia Mary , A.Anthony Eldred Eldred , Olivier Olela Otafudu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Common best proximity point; Best proximity pair; Cyclic contraction; Uniformly convex Banach space

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 90C48: Programming in abstract spaces
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 711-723

Daty

wydano

2017-01-01

otrzymano

2016-08-23

zaakceptowano

2017-03-21

online

2017-06-09

Twórcy

autor

Moosa Gabeleh

• , , ,

autor

P. Julia Mary

• , , ,

autor

A.Anthony Eldred Eldred

• , , ,

autor

Olivier Olela Otafudu

• , (Mafikeng campus) ,

Identyfikatory

DOI

10.1515/math-2017-0059