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Fixed Point Theory and Algorithms for Sciences and Engineering
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Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

Fixed Point Theory and Applications volume 2010, Article number: 183596 (2010) Cite this article

Abstract

We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL, 32901, USA

    RaviP Agarwal

  2. Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    RaviP Agarwal

  3. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O'Regan

  4. Université Cadi Ayyad, Laboratoire de Mathématiques et de Dynamique de Populations, Marrakech, Morocco

    Mohamed-Aziz Taoudi

Authors
  1. RaviP Agarwal
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  2. Donal O'Regan
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  3. Mohamed-Aziz Taoudi
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Correspondence to RaviP Agarwal.

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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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Agarwal, R., O'Regan, D. & Taoudi, MA. Fixed Point Theorems for ws-Compact Mappings in Banach Spaces. Fixed Point Theory Appl 2010, 183596 (2010). https://doi.org/10.1155/2010/183596

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  • DOI: https://doi.org/10.1155/2010/183596

Keywords

  • Point Theorem
  • Differential Geometry
  • Type Condition
  • Computational Biology
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