Proximal Weakly Contractive and Proximal Nonexpansive Non-self-Mappings in Metric and Banach Spaces

Moosa Gabeleh ()
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Moosa Gabeleh: Ayatollah Boroujerdi University

Journal of Optimization Theory and Applications, 2013, vol. 158, issue 2, No 16, 615-625

Abstract: Abstract In this work, we consider two classes of non-self-mappings, which are called proximal weakly contractive and proximal nonexpansive mappings, and study the existence of solutions of a minimization problem. Existence results of best proximity points for these two classes of non-self-mappings in metric and Banach spaces are also obtained.

Keywords: Proximal weakly contractive; Proximal nonexpansive; Best proximity point; P-property (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0246-8

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