A best proximity point theorem for Geraghty-contractions

Fixexd point theory and applications

J Caballero¹  K Sadarangani¹  J Harjani² 

[1] Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

关键词: fixed point;    Geraghty-contraction;    P-property;    best proximity point;   

DOI  :  10.1186/1687-1812-2012-231

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for Geraghty-contractions. Our paper provides an extension of a result due to Geraghty (Proc. Am. Math. Soc. 40:604-608, 1973).

【 授权许可】

CC BY