Finding a solution to an optimization problem for the homotopic mappings via some best proximity point results

被引：1

作者：

Sahin, Hakan ^{[1
]}

Aslantas, Mustafa ^{[2
]}

Simo, Layla Khudhur Saeed ^{[2
]}

机构：

[1] Bursa Tech Univ, Dept Math, TR-16310 Bursa, Turkiye

[2] Cankiri Karatekin Univ, Dept Math, TR-18100 Cankiri, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期

关键词：

Best proximity point; F-contraction; Quasi metric spaces; Homotopy; F-CONTRACTIONS; THEOREMS;

D O I：

10.1007/s41478-023-00697-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concepts of the modified weak P-rho-property and Suzuki type F-alpha,F-rho-contraction mapping on quasi metric spaces. Then, we prove some left and right best proximity point results for such mappings on quasi metric spaces. Hence, we give an affirmative answer to the question in Altun (Journal of Nonlinear and Convex Analysis 16(4):659-666, 2015) for closed and bounded valued mappings. Also, we provide some comparative examples to show the effectiveness of the results in the current paper. Finally, we obtain a best proximity point result for the homotopic mappings by using our results.

引用

页码：1545 / 1567

页数：23

共 42 条

[1] Fixed Points for Multivalued Suzuki Type (,R)-Contraction Mapping with Applications [J].