Fixed points in uniform spaces

被引：2

作者：

Chaoha, Phichet ^{[1
]}

Songsa-ard, Sittichoke ^{[1
]}

机构：

[1] Chulalongkorn Univ, Dept Math & Comp Sci, Fac Sci, Bangkok 10330, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

关键词：

fixed points; Phi-contractions; uniform spaces; LOCALLY CONVEX-SPACES; MAPS;

D O I：

10.1186/1687-1812-2014-134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve Angelov's fixed point theorems of Phi-contractions and j-nonexpansive maps in uniform spaces and investigate their fixed point sets using the concept of virtual stability. Some interesting examples and an application to the solution of a certain integral equation in locally convex spaces are also given.

引用

页数：13

共 8 条

[1] ANGELOV VG, 1987, CZECH MATH J, V37, P19
[2] J-NONEXPANSIVE MAPPINGS IN UNIFORM-SPACES AND APPLICATIONS
ANGELOV, VG
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 43 (02) : 331 - 339
[3] [Anonymous], 2009, FIXED POINTS UNIFORM
[4] FIXED-POINTS AND STABILITY FOR A SUM OF 2 OPERATORS IN LOCALLY CONVEX SPACES
CAIN, GL
NASHED, MZ
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1971, 39 (03) : 581 - &
[5] Chaoha P, 2014, J NONLINEAR CONVEX A, V15, P665
[6] Virtually stable maps and their fixed point sets
Chaoha, P.
Atiponrat, W.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 536 - 542
[7] Piecewise continuous mild solutions of a system governed by impulsive differential equations in locally convex spaces
Chonwerayuth, Anusorn
Termwuttipong, Imchit
Chaoha, Phichet
[J]. SCIENCEASIA, 2011, 37 (04): : 360 - 369
[8] Weil A., 1938, Sur les Espaces Structure Uniforme et sur la Topologie Gnrale

← 1 →