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  • Research Article
  • Open Access

Quasicontraction Mappings in Modular Spaces without Δ2-Condition

Fixed Point Theory and Applications20082008:916187

  • Received: 22 May 2008
  • Accepted: 1 July 2008
  • Published:


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.


  • Modular Space
  • Function Space
  • Differential Geometry
  • Computational Biology
  • Full Article

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Authors’ Affiliations

Department of Mathematical Science, The University of Texas at El Paso, El Paso, TX 79968, USA


© 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.