Proximal Weakly Contractive and Proximal Nonexpansive Non-self-Mappings in Metric and Banach Spaces |
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Authors: | Moosa Gabeleh |
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Institution: | 1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
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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. |
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