Fixed Points of Set-Valued F-Contractions and its Application to Non-Linear Integral Equations

被引：8

作者：

Shukla, Satish ^{[1
]}

Gopal, Dhananjay ^{[2
]}

Martinez-Moreno, Juan ^{[3
]}

机构：

[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Gram Baroli, India

[2] SV Natl Inst Technol, Dept Appl Math & Humanities, Surat, India

[3] Univ Jaen, Dept Matemat, Jaen, Spain

来源：

FILOMAT | 2017年 / 31卷 / 11期

关键词：

Fixed points; F-contractions; non-linear integral equations; PARTIALLY ORDERED SETS; THEOREMS;

D O I：

10.2298/FIL1711377S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We observe that the assumption of set-valued F-contractions (Sgroi and Vetro [13]) is actually very strong for the existence of fixed point and can be weakened. In this connection, we introduce the notion of set-valued alpha-F-contractions and prove a corresponding fixed point theorem in complete metric spaces. Consequently, we derive several fixed point theorems in metric spaces. Some examples are given to illustrate the new theory. Then we apply our results to establishing the existence and uniqueness of solutions for a certain type of non-linear integral equations.

引用

页码：3377 / 3390

页数：14

共 50 条

[31] COMMON FIXED POINT THEOREMS FOR A FAMILY OF MULTIVALUED F-CONTRACTIONS WITH AN APPLICATION TO SOLVE A SYSTEM OF INTEGRAL EQUATIONS
Kamran, Tayyab
Fahimuddin
Ali, Muhammad Usman
GLASNIK MATEMATICKI, 2017, 52 (01) : 163 - 177
[32] Fixed points of subadditive maps and some non-linear integral equations
Y. Estaremi
B. Moeini
Journal of Fixed Point Theory and Applications, 2017, 19 : 1269 - 1282
[33] Fixed points of subadditive maps and some non-linear integral equations
Estaremi, Y.
Moeini, B.
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (02) : 1269 - 1282
[34] Coincidence and fixed points of multivalued F-contractions in generalized metric space with application
Naeem Saleem
Iram Iqbal
Bilal Iqbal
Stojan Radenovíc
Journal of Fixed Point Theory and Applications, 2020, 22
[35] Coincidence and fixed points of multivalued F-contractions in generalized metric space with application
Saleem, Naeem
Iqbal, Iram
Iqbal, Bilal
Radenovic, Stojan
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (04)
[36] Common fixed points for set-valued generalized contractions on a metric space with graphical structure
Maiti, Pallab
Sultana, Asrifa
FILOMAT, 2023, 37 (11) : 3671 - 3679
[37] Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
Klim, D.
Wardowski, D.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5170 - 5175
[38] Solving integral and differential equations via fixed point results involving F-contractions
Singh, Bijender
Isik, Huseyin
Singh, Vizender
Singh, Kuldeep
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
[39] The Existence of Solutions to Nonlinear Matrix Equations via Fixed Points of Multivalued F-Contractions
Hussain, Nawab
Ali, Ghada
Iqbal, Iram
Samet, Bessem
MATHEMATICS, 2020, 8 (02)
[40] Fixed points for set-valued mappings in locally convex linear topological spaces
O'Regan, D
MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (01) : 45 - 55

← 1 2 3 4 5 →