Best proximity of proximal $\mathcal{F}^*$-weak contraction

Journal of Linear and Topological Algebra

دوره 11، شماره 01، خرداد 2022، صفحه 15-26   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2022.1949868.1459

نویسندگان

M. Salamatbakhsh؛ R. H. Haghi^* ؛ K. Fallahi

Department of Mathematics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

چکیده

‎Best proximity point‎ ‎theorems for self-mappings were investigated with different‎ ‎conditions on spaces for contraction mappings‎. ‎In this‎ ‎paper‎, ‎we prove best proximity point theorems for proximal $\mathcal{F}^{*}$-weak contraction mappings‎.
 

کلیدواژه‌ها

Best Proximity point‎؛ ‎proximal $mathcal{F}^{*}$-weak‎ ‎contraction‎؛ ‎approximatively compact‎؛ ‎cyclically Cauchy sequence‎؛ ‎uniform approximation‎؛ $mathcal{S}$-approximation‎؛ ‎quasi-continuous

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