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A Characterization of Strictly Convex Spaces and Applications

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Abstract

In this article, we establish a new characterization of strictly convex normed linear spaces. Using this characterization, we obtain an extended version of Banach’s Contraction Principle in a best proximity point setting.

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Acknowledgements

The authors are grateful to the Editor and the Referees for their helpful suggestions and comments for the improvement of this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli, 627 012, India

    V. Sankar Raj

  2. Department of Mathematics, St. Joseph’s College, Tiruchirappalli, 620 002, India

    A. Anthony Eldred

Authors
  1. V. Sankar Raj
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  2. A. Anthony Eldred
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Correspondence to V. Sankar Raj.

Additional information

Communicated by Alfredo N. Iusem.

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Sankar Raj, V., Anthony Eldred, A. A Characterization of Strictly Convex Spaces and Applications. J Optim Theory Appl 160, 703–710 (2014). https://doi.org/10.1007/s10957-013-0357-x

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  • DOI: https://doi.org/10.1007/s10957-013-0357-x

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