KRASNOSELSKII-TYPE FIXED POINT THEOREMS UNDER WEAK TOPOLOGY SETTINGS AND APPLICATIONS

被引：0

作者：

Xiang, Tian ^{[1
]}

Yuan, Rong ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

基金：

中国国家自然科学基金;

关键词：

Expansive mapping; fixed point; weakly continuous; integral equation;

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 article, we establish some fixed point results of Krasnoselskii type for the sum T + S, where S is weakly continuous and T may not be continuous. Some of the main results complement and encompass the previous ones. As an application, we study the existence of solution to one parameter operator equations. Finally, our results are used to prove the existence of solution for integral equations in reflexive Banach spaces.

引用

页数：15

共 50 条

[21] Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications
Singh, Shyam Lal
Kamal, Raj
De la Sen, Manuel
FIXED POINT THEORY AND APPLICATIONS, 2014,
[22] Fixed point theorems for α-contractive mappings of Meir-Keeler type and applications
Berzig, Maher
Rus, Mircea-Dan
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2014, 19 (02): : 178 - 198
[23] ON WEAK-WARDOWSKI-PRESIC-TYPE FIXED POINT THEOREMS VIA NONCOMPACTNESS MEASURE WITH APPLICATIONS TO A SYSTEM OF FRACTIONAL INTEGRAL EQUATIONS
Parvaneh, M.
Farajzadeh, A. P.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (01) : 1 - 15
[24] Fixed point theorems for fuzzy mappings with applications
Al-Mazrooei, Abdullah Eqal
Ahmad, Jamshaid
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (04) : 3903 - 3909
[25] Fixed point theorems for τ-φ-concave operators and applications
Zhai, Cheng-Bo
Cao, Xiao-Min
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 532 - 538
[26] Fixed point theorems for basic θ-contraction and applications
Cvetkovic, Marija
Karapinar, Erdal
Petrusul, Drian
CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (03) : 789 - 804
[27] Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications
Shyam Lal Singh
Raj Kamal
Manuel De la Sen
Fixed Point Theory and Applications, 2014
[28] FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS WITH APPLICATIONS TO COUPLED FIXED POINT THEORY
Petrusel, Adrian
Petrusel, Gabriela
Xiao, Yi-Bin
Yao, Jen-Chih
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (01) : 71 - 88
[29] COINCIDENCE POINT AND FIXED POINT THEOREMS IN PARTIAL METRIC SPACES FOR CONTRACTIVE TYPE MAPPINGS WITH APPLICATIONS
Saluja, G. S.
Kim, Jong Kyu
Lim, Won Hee
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (5-6): : 1053 - 1071
[30] FIXED POINT THEOREMS FOR MAPPINGS UNDER GENERAL CONTRACTIVE CONDITION OF INTEGRAL TYPE
Dey, Debashis
Ganguly, Anamika
Saha, Mantu
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (01): : 27 - 34

← 1 2 3 4 5 →