Open Access

Quasicontraction Mappings in Modular Spaces without Δ2-Condition

Fixed Point Theory and Applications20082008:916187

DOI: 10.1155/2008/916187

Received: 22 May 2008

Accepted: 1 July 2008

Published: 15 July 2008

Abstract

As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the 2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.

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Authors’ Affiliations

(1)
Department of Mathematical Science, The University of Texas at El Paso

Copyright

© M. A. Khamsi. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.