Uniform convexity, strong convexity and property UC

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• 作者：P. Shunmugaraj ; ^{psraj@iitk.ac.in" class="auth_mail" title="E-mail the corresponding author} ; V. Thota ^{vamst@iitk.ac.in" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Uniformly convex ; Property UC ; Uniformly strongly Chebyshev ; Strongly convex
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：446
• 期：2
• 页码：1769-1775
• 全文大小：272 K

文摘

Property UC, introduced in 2009, plays a crucial role in several existence and convergence results for best proximity points and fixed points. In this paper, we present two approximation theoretic characterizations of uniform convexity and as consequences of these results, we characterize the uniform convexity in terms of property UC. Characterizations of strong convexity in terms of property UC are also presented.