Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

被引：13

作者：

Agarwal, Ravi P. ^{[1
,2
]}

O'Regan, Donal ^{[3
]}

Taoudi, Mohamed-Aziz ^{[4
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math Stat, Dhahran 31261, Saudi Arabia

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

[4] Univ Cadi Ayyad, Lab Math & Dynam Populat, Marrakech, Morocco

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

INTEGRAL FUNCTIONALS; WEAK NONCOMPACTNESS; EXISTENCE; TOPOLOGY; EQUATION; RESPECT;

D O I：

10.1155/2010/183596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the usefulness and the applicability of our results.

引用

页数：13

共 15 条

[1] [Anonymous], 1994, ANN SCI MATH QUEBEC
[2] ON MEASURES OF WEAK NONCOMPACTNESS
BANAS, J
RIVERO, J
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 151 : 213 - 224
[3] BENAMAR A, PORTUGALIAE IN PRESS
[4] Integral functionals that are continuous with respect to the weak topology on W01,p(Ω)
Cerny, Robert
Hencl, Stanislav
Kolar, Jan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2753 - 2763
[5] De Blasi FS., 1977, B MATH SOC SCI MATH, V21, P259
[6] Dunford N., 1988, LINEAR OPERATORS
[7] Edwards R.E., 1965, Functional Analysis
[8] Existence of fixed points and measures of weak noncompactness
Garcia-Falset, J.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2625 - 2633
[9] Integral functionals that are continuous with respect to the weak topology on W01,p (0,1)
Hencl, S
Kolár, J
Pangrác, O
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (01) : 81 - 87
[10] KRASNOSELSKII MA, 1951, DOKL AKAD NAUK SSSR, V77, P185

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