[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2022.29.4.335

BEST PROXIMITY POINT THEOREMS FOR CYCLIC 𝜃-𝜙-CONTRACTION ON METRIC SPACES

Rossafi, Mohamed (LASMA Laboratory Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University)
Kari, Abdelkarim (Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M'Sik, Hassan II University)
Lee, Jung Rye (Department of Data Science, Daejin University)

Publication Information

The Pure and Applied Mathematics / v.29, no.4, 2022 , pp. 335-352 More about this Journal

Abstract

In this paper, we give an extended version of fixed point results for 𝜃-contraction and 𝜃-𝜙-contraction and define a new type of contraction, namely, cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction in a complete metric space. Moreover, we prove the existence of best proximity point for cyclic 𝜃-contraction and cyclic 𝜃-𝜙-contraction. Also, we establish best proximity result in the setting of uniformly convex Banach space.

Keywords

fixed point; best proximity point; uniformly convex Banach space; ${\theta}$ -contraction; ${\theta}-{\phi}$ -contraction;

Citations & Related Records

Reference

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