Proximal Weakly Contractive and Proximal Nonexpansive Non-self-Mappings in Metric and Banach Spaces
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.
KeywordsProximal weakly contractive Proximal nonexpansive Best proximity point P-property
The author thanks anonymous referees and the handling editor, professor Franco Giannessi, for their helpful remarks and suggestions that allowed him to improve the original presentation.
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