Some New Fixed Point Results via the Concept of Measure of Noncompactness

被引：5

作者：

Aghajani, Asadollah ^{[1
]}

Tehrani, Alireza Mosleh ^{[1
]}

O'Regan, Donald ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684413114, Iran

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

FILOMAT | 2015年 / 29卷 / 06期

关键词：

measure of noncompactness; Darbo fixed point theorem; is an element of-fixed point; nonexpansive mapping; uniformly convex space; ASYMPTOTIC STABILITY; INTEGRAL-EQUATION; EXISTENCE; ATTRACTIVITY; THEOREM;

D O I：

10.2298/FIL1506209A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a generalization of Darbo's fixed point theorem and using this generalization we prove an epsilon-fixed point result in Banach spaces. Also, we present a generalization of Darbo and Sadovskii fixed point theorem in uniformly convex Banach spaces.

引用

页码：1209 / 1216

页数：8

共 50 条

[21] Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications
Farid, Mohamed Amine
Chaira, Karim
Marhrani, El Miloudi
Aamri, Mohamed
[J]. AXIOMS, 2019, 8 (04)
[22] New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations
Deb, Sudip
Jafari, Hossein
Das, Anupam
Parvaneh, Vahid
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
[23] Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem
Bousselsal, Mahmoud
Jah, Sidi Hamidou
[J]. INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
[24] Fixed Points of Monotone Mappings via Generalized-Measure of Noncompactness
Niaz Ahmad
Ahmed Al-Rawashdeh
Nayyar Mehmood
Stojan Radenović
[J]. Vietnam Journal of Mathematics, 2022, 50 : 275 - 285
[25] Fixed Points of Monotone Mappings via Generalized-Measure of Noncompactness
Ahmad, Niaz
Al-Rawashdeh, Ahmed
Mehmood, Nayyar
Radenovic, Stojan
[J]. VIETNAM JOURNAL OF MATHEMATICS, 2022, 50 (01) : 275 - 285
[26] Multivalued fixed point theorems in terms of weak topology and measure of weak noncompactness
Cardinali, Tiziana
Rubbioni, Paola
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 409 - 415
[27] Some New Fuzzy Fixed Point Results with Applications
Al-Mezel, Saleh Abdullah
Ahmad, Jamshaid
De La Sen, Manuel
[J]. MATHEMATICS, 2020, 8 (06)
[28] Some fixed point results via R-functions
Nastasi A.
Vetro P.
Radenović S.
[J]. Fixed Point Theory and Applications, 2016 (1)
[29] Some generalized fixed point results via a τ-distance and applications
Khan, Farhan
Sarwar, Muhammad
Khan, Arshad
Azeem, Muhammad
Aydi, Hassen
Mukheimer, Aiman
[J]. AIMS MATHEMATICS, 2022, 7 (01): : 1346 - 1365
[30] New Fixed Point Results via a Graph Structure
Acar, Ozlem
Aydi, Hassen
De la Sen, Manuel
[J]. MATHEMATICS, 2021, 9 (09)

← 1 2 3 4 5 →