FIXED POINT THEOREMS IN LOCALLY CONVEX ALGEBRAS UNDER WEAK TOPOLOGY FEATURES AND APPLICATIONS

被引:3
作者
Chi, Kieu phuong [1 ]
Vu, Do hoai [2 ]
机构
[1] Saigon Univ, Dept Math & Applicat, 273 An Duong Vuong, Ho Chi Minh City, Vietnam
[2] Ind Univ Ho Chi Minh City, 12 Nguyen Van Bao Str, Ho Chi Minh City, Vietnam
关键词
Fixed point; weak topology; locally convex algebras; unbounded deviations; nonlinear integral equations; BANACH-ALGEBRAS; SPACES; NONCOMPACTNESS; OPERATORS;
D O I
10.1186/s13663-015-0310-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish some new critical fixed point theorems for the sum C + AB and C + FNB in a locally convex algebra relative to the weak topology and present applications to the existence problem for a class of nonlinear integral equations with unbounded deviations.
引用
收藏
页码:2415 / 2438
页数:24
相关论文
共 23 条
[1]  
[Anonymous], 2016, Fixed Point Theory and Applications
[2]  
Banas J, 2008, DYNAM SYST APPL, V17, P255
[3]  
Banas J, 2013, COMMENT MATH UNIV CA, V54, P21
[4]   FIXED POINTS AND SOLUTIONS OF OPERATOR EQUATIONS FOR THE WEAK TOPOLOGY IN BANACH ALGEBRAS [J].
Banas, Jozef ;
Taoudi, Mohamed-Aziz .
TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (03) :871-893
[5]   Optimal approximate fixed point results in locally convex spaces [J].
Barroso, C. S. ;
Kalenda, O. F. K. ;
Reboucas, M. P. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 401 (01) :1-8
[6]  
Beckenstein E., 1977, TOPOLOGICAL ALGEBRAS
[7]  
Ben Amar A, 2017, B IRAN MATH SOC, V43, P995
[8]   MEASURES OF WEAK NONCOMPACTNESS AND FIXED POINT THEORY IN BANACH ALGEBRAS SATISFYING CONDITION (P) [J].
Ben Amar, Afif ;
O'Regan, Donal .
FIXED POINT THEORY, 2017, 18 (01) :37-46
[9]   New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations [J].
Ben Amar, Afif ;
Chouayekh, Soufiene ;
Jeribi, Aref .
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (09) :2215-2237
[10]   On a fixed point theorem in Banach algebras with applications [J].
Dhage, BC .
APPLIED MATHEMATICS LETTERS, 2005, 18 (03) :273-280