On best proximity point of ψ -Geraghty contractions

Fixexd point theory and applications

Erdal Karapı¹ 

[1] Department of Mathematics, Atilim University, Incek, Turkey

关键词: best proximity point;    non-self mapping;    partial order;    metric space;    fixed point;   

DOI  :  10.1186/1687-1812-2013-200

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012:231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduce the notion of ψ-Geraghty contractions and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space. We state examples to illustrate our result. MSC: 41A65, 90C30, 47H10.

【 授权许可】

CC BY