Graphical cyclic $\mathcal{J}$-integral Banach type mappings and the existence of their best proximity points

Journal of Linear and Topological Algebra

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 بهمن 1402   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.30495/jlta.2024.2004057.1608

نویسندگان

K. Fallahi^* ؛ S. Jalali

Department of Mathematics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

چکیده

‎The underlying aim of this paper is first to state the cyclic‎
‎version of $\mathcal{J}$-integral Banach type contractive mappings introduced by Fallahi‎, ‎Ghahramani and Soleimani Rad‎
‎[Integral type contractions in partially ordered metric spaces and best proximity point‎, ‎Iran‎. ‎J‎. ‎Sci‎. ‎Technol‎. ‎Trans‎. ‎Sci‎. ‎44 (2020)‎, ‎177-183]‎ ‎and second to show the existence of best proximity points for such contractive mappings in a metric space with a graph‎, ‎which can entail a large number of former best proximity point results‎. ‎One fundamental issue that can be distinguished between this work and previous researches is that it can also involve all of results stated by taking comparable and $\vartheta$-close elements‎.
 

کلیدواژه‌ها

$\mathcal{J}$-quasi-contraction؛ orbitally $\mathcal{J}$-continuous‎؛ ‎graphical metric spaces‎؛ ‎best proximity point

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