COMMON FIXED POINT THEOREMS VIA MEASURE OF NONCOMPACTNESS

被引：0
作者：
Khodabakhshi, Neda [1 ]
Vaezpour, S. Mansour [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Hafez Ave,POB 15875-4413, Tehran, Iran
来源：
FIXED POINT THEORY | 2016年 / 17卷 / 02期
关键词：
Common fixed point; measure of noncompactness; ASYMPTOTIC STABILITY; GLOBAL ATTRACTIVITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide sufficient conditions for the existence of common fixed point for two commuting operators with the technique associated with measure of noncompactness in Banach spaces. Our results generalize Darbo's fixed point theorem and also some fixed point theorems which were recently proved by some authors [2, 13].
引用
收藏
页码：381 / 386
页数：6
相关论文
共 16 条
[1]  
Agarwal RP, 2004, FIXED POINT THEORY AND APPLICATIONS, VOL 5, P1
[2]   Existence and global attractivity of solutions of a nonlinear functional integral equation [J].
Aghajani, A. ;
Jalilian, Y. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) :3306-3312
[3]   Some generalizations of Darbo fixed point theorem and applications [J].
Aghajani, Asadollah ;
Banas, Jozef ;
Sabzali, Navid .
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (02) :345-358
[4]  
[Anonymous], 1980, LECT NOTES PURE APPL
[5]   An application of a measure of noncompactness in the study of asymptotic stability [J].
Banas, J ;
Rzepka, B .
APPLIED MATHEMATICS LETTERS, 2003, 16 (01) :1-6
[6]  
Banas J., 1980, Comment. Math. Univ. Carolin, V21, P131
[7]  
Banas J., 1981, DEMONSTRATIO MATH, V14, P127, DOI 10.1515/dema-1981-0110
[8]   Global asymptotic stability of solutions of a functional integral equation [J].
Banas, Jozef ;
Dhage, Bapurao C. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :1945-1952
[9]  
Darbo G., 1955, Rend. Sem. Mat. Univ. Padova, V24, P84
[10]  
Deimling K, 1984, NONLINEAR FUNCTIONAL
12