Best proximity point theorems for rational proximal contractions

Fixexd point theory and applications

Hemant Kumar Nashine²  Poom Kumam³  Calogero Vetro⁵ 

[1] degli Studi di Palermo, Palermo, Italy;Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, India;Department of Mathematics, Faculty of Science, King Mongkut’Dipartimento di Matematica e Informatica, Universitàs University of Technology Thonburi (KMUTT), Bangkok, Thailand

关键词: best proximity point;    contraction;    fixed point;    generalized proximal contraction;    optimal approximate solution;   

DOI  :  10.1186/1687-1812-2013-95

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We provide sufficient conditions which warrant the existence and uniqueness of the best proximity point for two new types of contractions in the setting of metric spaces. The presented results extend, generalize and improve some known results from best proximity point theory and fixed-point theory. We also give some examples to illustrate and validate our definitions and results. MSC:41A65, 46B20, 47H10.

【 授权许可】

CC BY