Best proximity points for proximal contractive type mappings with C -class functions in S -metric spaces

Fixexd point theory and applications

Jamnian Nantadilok¹  Arslan Hojat Ansari² 

[1] Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang, Thailand;Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

关键词: fixed points;    proximity points;    G-metric space;    S-metric space;    B-metric space;    proximal contractive mapping;    C-class function;    47H10;    54H25;   

DOI  :  10.1186/s13663-017-0606-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use the concept of C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric spaces. Our results extend and improve some known results in the literature. We give examples to analyze and support our main results.

【 授权许可】

CC BY