On a General Contractive Condition for Cyclic Self-Mappings-Reference-Cited by-同舟云学术

On a General Contractive Condition for Cyclic Self-Mappings

Published:2011 Issue: Volume:2011 Page:1-17
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

De la Sen M.¹^ORCID

Affiliation:

1. Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, Campus de Leioa (Bizkaia), Apartado 644 de Bilbao, 48080 Bilbao, Spain

Abstract

This paper is concerned with -cyclic self-mappings in a metric space (, ), with , for , under a general contractive condition which includes as particular cases several of the existing ones in the literature. The existence and uniqueness of fixed points and best proximity points is discussed as well as the convergence to them of the iterates generated by the self-mapping from given initial points.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2011/542941.pdf

Reference20 articles.

1. A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

2. Existence and convergence of best proximity points

3. Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions

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