Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

被引：128

作者：

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

Hussain, Nawab ^{[1
]}

Taoudi, Mohamed-Aziz ^{[3
,4
]}

机构：

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

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] Ctr Univ Kelaa des Sraghna, Kelaa Des Sraghna 43000, Morocco

[4] Univ Cadi Ayyad, Lab Math & Dynam Populat, Fac Sci Semlalia, Marrakech 40000, Morocco

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

WEAK NONCOMPACTNESS; KRASNOSELSKII; EXISTENCE;

D O I：

10.1155/2012/245872

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

引用

页数：15

共 24 条

[1] Fixed Point Theorems for ws-Compact Mappings in Banach Spaces [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Taoudi, Mohamed-Aziz .

FIXED POINT THEORY AND APPLICATIONS, 2010,

[2]

[Anonymous], 1994, ANN SCI MATH QUEBEC

[3]

[Anonymous], 1980, LECT NOTES PURE APPL

[4]

APPELL J, 1984, B UNIONE MAT ITAL, V3B, P497

[5] ON MEASURES OF WEAK NONCOMPACTNESS [J].

BANAS, J ;

RIVERO, J .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 151 :213-224

[6]

Darbo G., 1955, Rend. Sem. Mat. Univ. Padova, V24, P84

[7]

De Blasi F. S., 1997, B MATH SOC SCI MATH, V21, P259

[8]

Dhage BC., 1999, B KOREAN MATH SOC, V36, P565

[9] Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in L1 spaces [J].

Djebali, Smail ;

Sahnoun, Zahira .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (09) :2061-2075

[10]

Dunford N., 1958, SCHWARTZ LINEAR OP 1

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