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

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Gabeleh M., Julia Mary P., Eldred Eldred A. A., Olela Otafudu O.

Open Mathematics

2017

tom 15

nr 1

711-723

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.

Ograniczanie wyników

1 Open Mathematics

1 Eldred Eldred A. A.

1 Gabeleh M.

1 Julia Mary P.

1 Olela Otafudu O.

1 2017

Wyniki wyszukiwania

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