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Quasicontraction Mappings in Modular Spaces without Δ2-Condition

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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Correspondence to M.A. Khamsi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Khamsi, M. Quasicontraction Mappings in Modular Spaces without Δ2-Condition. Fixed Point Theory Appl 2008, 916187 (2008). https://doi.org/10.1155/2008/916187

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Keywords

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