New generalization of the best proximity point problem

Author(s):

M.R. Haddadi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

‎Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. ‎Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$‎, for mappings $T,f:C\cup D\to C\cup D$. ‎In fact, ‎we give a generalization of best proximity point results for cyclic contractive mappings. ‎To this end‎, ‎we consider an example is presented to support the main result. ‎‎

Keywords:

Common best proximity point‎ , coincidence point‎ , metric space‎ , ‎fixed‎ ‎point‎

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
471 to 479
https://www.magiran.com/p2583802