A Characterization of Strictly Convex Spaces and Applications

V. Sankar Raj () and A. Anthony Eldred ()
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V. Sankar Raj: Manonmaniam Sundaranar University
A. Anthony Eldred: St. Joseph’s College

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 2, No 18, 703-710

Abstract: 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.

Keywords: Strictly convex spaces; d-Property; Best proximity points; Non-self contraction mapping; Nonexpansive mapping; Fixed points; Metric projection; Normal structure (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0357-x

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