Fixed-point theorems for the sum of two operators under ω-condensing

被引：8

作者：

Wang, Fuli ^{[1
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

measure of weak noncompactness; weak condensing; phi-nonlinear contraction; nonlinear Hammerstein integral equations; KRASNOSELSKII-TYPE; SPACES;

D O I：

10.1186/1687-1812-2013-102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to establish fixed-point theorems for the sum of two operators A and B, where the operator A is assumed to be contractive with respect to the measure of weak noncompactness, while B is an phi-nonlinear contraction. In the last section, we apply such results to study the existence of solutions to a nonlinear Hammerstein integral equation in L-1 space.

引用

页数：13

共 50 条

[1] Fixed-point theorems for the sum of two operators under ω-condensing
Fuli Wang
[J]. Fixed Point Theory and Applications, 2013
[2] SOME RANDOM FIXED-POINT THEOREMS FOR CONDENSING OPERATORS
SEHGAL, VM
WATERS, C
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 90 (03) : 425 - 429
[3] FIXED-POINT THEOREMS FOR A SUM OF NONLINEAR OPERATORS
SINGH, SP
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A373 - A373
[4] Remarks on two fixed-point theorems involving the sum and the product of two operators
Dhage, BC
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (12) : 1779 - 1785
[5] SOME RANDOM FIXED-POINT THEOREMS FOR CONDENSING AND NONEXPANSIVE OPERATORS
XU, HK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (02) : 395 - 400
[6] Fixed-point theory for the sum of two operators
ORegan, D
[J]. APPLIED MATHEMATICS LETTERS, 1996, 9 (01) : 1 - 8
[7] FIXED-POINT THEOREMS FOR A SUM OF NON-LINEAR OPERATORS
SINGH, SP
[J]. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 54 (04): : 558 - 561
[8] A fixed-point theorem for weakly condensing operators
ORegan, D
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 : 391 - 398
[9] Approximation and fixed-point theorems for condensing composites of multifunctions
Lin, TC
Park, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) : 1 - 8
[10] Two fixed-point theorems
M. F. Sukhinin
[J]. Mathematical Notes, 1999, 66 : 760 - 763

← 1 2 3 4 5 →