Best proximity points for generalized α - ϕ -Geraghty proximal contraction mappings and its applications

Fixexd point theory and applications

Rahmatollah Lashkaripour¹  Javad Hamzehnejadi¹ 

[1] Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

关键词: best proximity point;    generalized α-ϕ-Geraghty proximal contraction mapping;    Geraghty contraction mapping;    fixed point;    47H10;    54H25;    11J83;   

DOI  :  10.1186/s13663-016-0561-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the new notion of generalized α-ϕ-Geraghty proximal contraction mappings and investigate the existence of the best proximity point for such mappings in complete metric spaces. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.

【 授权许可】

CC BY