Some fixed point theorems for contractive multi-valued mappings induced by generalized distance in metric spaces

Fixexd point theory and applications

Narin Petrot¹  Soawapak Hirunworakit¹ 

[1] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: complete metric space;    generalized multi-valued contractive;    u- distance;    fixed point.;   

DOI  :  10.1186/1687-1812-2011-78

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to prove some existence theorems for fixed point problem by using a generalization of metric distance, namely u-distance. Consequently, some special cases are discussed and an interesting example is also provided. Presented results are generalizations of the important results due to Ume (Fixed Point Theory Appl 2010(397150), 21 pp, 2010) and Suzuki and Takahashi (Topol Methods Nonlinear Anal 8, 371-382, 1996). 2010 Mathematics Subject Classification: 47H09, 47H10.

【 授权许可】

CC BY