A Pata-type fixed point theorem in modular spaces with application

被引:11
作者
Paknazar, Mohadeseh [1 ]
Eshaghi, Madjid [2 ]
Cho, Yeol Je [3 ,4 ]
Vaezpour, Seyed Mansour [5 ]
机构
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[2] Semnan Univ, Dept Math, Semnan, Iran
[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[5] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran
关键词
fixed point; modular spaces; nonlinear integral equations;
D O I
10.1186/1687-1812-2013-239
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a Pata-type fixed point theorem in modular spaces which generalizes and improves some old results. As an application, we study the existence of solutions of integral equations in modular function spaces.
引用
收藏
页数:10
相关论文
共 18 条
[1]  
Abbas M, 2011, FIXED POINT THEOR-RO, V12, P235
[2]   One-local retract and common fixed point in modular function spaces [J].
Al-Mezel, Saleh Abdullah ;
Al-Roqi, Abdullah ;
Khamsi, Mohamed Amine .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[3]   Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces [J].
Bin Dehaish, Buthinah A. ;
Kozlowski, W. M. .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[4]  
Dhompongsa S, 2006, SCI MATH JAPON, V63, P161
[5]  
Farajzadeh AP, 2011, MATH COMMUN, V16, P13
[6]   Banach operator pairs and common fixed points in modular function spaces [J].
Hussain, N. ;
Khamsi, M. A. ;
Latif, A. .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[7]  
Khamsi M.A., 1996, Math. Japonica, V44, P269
[8]   FIXED-POINT THEORY IN MODULAR FUNCTION-SPACES [J].
KHAMSI, MA ;
KOZLOWSKI, WM ;
REICH, S .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 14 (11) :935-953
[9]   KKM and KY fan theorems in modular function spaces [J].
Khamsi, Mohamed Amine ;
Latif, Abdul ;
Al-Sulami, Hamid .
FIXED POINT THEORY AND APPLICATIONS, 2011, :1-8
[10]   Advancements in fixed point theory in modular function spaces [J].
W. M. Kozlowski .
Arabian Journal of Mathematics, 2012, 1 (4) :477-494