Existence theorems for single-valued and set-valued mappings with w -distances in metric spaces

Fixexd point theory and applications

Wataru Takahashi¹  Jen-Chih Yao²  Soh Kaneko³  Ching-Feng Wen⁴ 

[1] Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, Taiwan;Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan;Faculty of Economics, Keio University, Tokyo, Japan;Keio Research and Education Center for Natural Sciences, Keio University, Yokohama, Japan

关键词: complete metric space;    contractive mapping;    fixed point theorem;    generalized hybrid mapping;    w-distance;    47H10;    37C25;    58J20;   

DOI  :  10.1186/s13663-016-0527-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, using the concept of w-distances, and we prove existence theorems for single-valued mappings and set-valued mappings in a complete metric space which generalize Takahashi, Wong, and Yao’s theorems.

【 授权许可】

CC BY