KKM and KY fan theorems in modular function spaces

被引：10

作者：

Khamsi, Mohamed Amine ^{[1
]}

Latif, Abdul ^{[2
]}

Al-Sulami, Hamid ^{[2
]}

机构：

[1] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

fixed point; KKM mapping; Ky Fan's theorem; modular function space; ASYMPTOTIC POINTWISE CONTRACTIONS; HYPERCONVEX METRIC-SPACES; FIXED-POINTS; MAPPINGS;

D O I：

10.1186/1687-1812-2011-57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem.

引用

页码：1 / 8

页数：8

共 26 条

[1] [Anonymous], LECT NOTES MATH
[2] Baillon J. B., 1988, FIXED POINT THEORY I, V72, P11, DOI DOI 10.1090/CONM/072/956475
[3] SOME GENERALIZATIONS IN H-MODULAR SPACES OF FANS BEST APPROXIMATION THEOREM
BARDARO, C
CEPPITELLI, R
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1994, 56 : 291 - 302
[4] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
BROWDER, FE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 54 (04) : 1041 - &
[5] Fixed points of uniformly lipschitzian mappings
Dhompongsa, S.
Kirk, W. A.
Sims, Brailey
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (04) : 762 - 772
[6] Dugunddji J, 1982, FIXED POINT THEORY
[7] Goebel K., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P1011, DOI 10.1016/0362-546X(80)90012-7
[8] Goebel K., 1984, SERIES MONOGRAPHS TX, V83
[9] ZUM PRINZIP DER KONTRAKTIVEN ABBILDUNG
GOHDE, D
[J]. MATHEMATISCHE NACHRICHTEN, 1965, 30 (3-4) : 251 - &
[10] Hussain N, 2010, J NONLINEAR CONVEX A, V11, P475

← 1 2 3 →