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

被引：0

作者：

Kaneko S. ^{[1
]}

Takahashi W. ^{[2
,3
,4
]}

Wen C.-F. ^{[2
]}

Yao J.-C. ^{[5
]}

机构：

[1] Keio University, Mita 2-15-45, Minato-ku, Tokyo

[2] Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung

[3] Keio Research and Education Center for Natural Sciences, Keio University, Kouhoku-ku, Yokohama

[4] Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo

[5] Center for General Education, China Medical University, Taichung

来源：

Fixed Point Theory and Applications | / 2016卷 / 1期

基金：

日本学术振兴会;

关键词：

complete metric space; contractive mapping; fixed point theorem; generalized hybrid mapping; w-distance;

D O I：

10.1186/s13663-016-0527-2

中图分类号：

学科分类号：

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. © 2016, Kaneko et al.

引用

共 50 条

[1] FIXED POINT THEOREMS FOR SINGLE-VALUED AND SET-VALUED MAPPINGS ON COMPLETE METRIC SPACES
Chuang, Chih-Sheng
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JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (03) : 515 - 527
[2] FIXED POINT THEOREMS FOR SET-VALUED MAPPINGS AND VARIATIONAL PRINCIPLES IN UNIFORM SPACES WITH w-DISTANCES
Fierro, Raul
FIXED POINT THEORY, 2017, 18 (02): : 555 - 564
[3] Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete,Convex Metric Spaces
LIANG Jun-qi 1
2.Shangqiu No.1 Middle School
数学季刊, 2003, (03) : 264 - 270
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COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 27 (04): : 733 - 743
[6] SINGLE-VALUED REPRESENTATION OF ABSOLUTELY CONTINUOUS SET-VALUED MAPPINGS
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[7] SINGLE-VALUED REPRESENTATION OF ABSOLUTELY CONTINUOUS SET-VALUED MAPPINGS
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[8] SET-VALUED MONOTONE MAPPINGS ARE ALMOST EVERYWHERE SINGLE-VALUED
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[9] SET-VALUED MAPPINGS ON METRIC-SPACES
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[10] SET-VALUED MAPPINGS ON METRIC-SPACES
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