Best Proximity Point Theorems for Cyclic θ-­φ-­contraction on Metric Spaces

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.4, pp.335-352

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.335

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)

Rossafi, Mohamed, Kari, Abdelkarim, & Lee, Jung Rye. (2022). BEST PROXIMITY POINT THEOREMS FOR CYCLIC 𝜃-𝜙-CONTRACTION ON METRIC SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 335-352, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.335

복사

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, <tex> ${\theta}$</tex>-contraction, <tex> ${\theta}-{\phi}$</tex>-contraction

바로가기메뉴

논문 상세

Vol.29 No.4

BEST PROXIMITY POINT THEOREMS FOR CYCLIC &#x1D703;-&#x1D719;-CONTRACTION ON METRIC SPACES

Best Proximity Point Theorems for Cyclic θ-­φ-­contraction on Metric Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학

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

Best Proximity Point Theorems for Cyclic θ-φ-contraction on Metric Spaces