RAKOTCH TYPE EXTENSION OF DARBO'S FIXED POINT THEOREM AND AN APPLICATION

被引：0

作者：

Gencturk, Ilker ^{[1
]}

Erduran, Ali ^{[1
]}

Altun, Ishak ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Engn & Nat Sci, Dept Math, Kirikkale, Turkiye

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2024年 / 86卷 / 01期

关键词：

fixed point; measure of noncompactness; functional equation; NONCOMPACTNESS;

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 paper, we present a new extension of Darbo's fixed point theorem inspired by Rakotch's contraction. We also provide the alternative version of Leray-Schauder type of our new result. In order to demonstrate the applicability of our theoretical result, we present an existence theorem based on a functional equation. Finally, we provide an illustration of our existence theorem.

引用

页码：39 / 46

页数：8

共 50 条

[1] Some new extensions of Darbo's fixed point theorem with application
Gencturk, Lker
Hancer, Hatice Aslan
Altun, Ishak
FILOMAT, 2024, 38 (18) : 6325 - 6332
[2] Extension of Darbo's fixed point theorem via shifting distance functions and its application
Nashine, Hemant Kumar
Das, Anupam
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (02): : 275 - 288
[3] Generalization of Darbo's fixed point theorem and application
Aghajani, Asadollah
Aliaskari, Mandi
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2014, 5 (02): : 86 - 95
[4] Extension of Darbo's fixed point theorem via shifting distance functions and its application
Nashine, Hemant Kumar
Das, Anupam
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (01):
[5] SOME GENERALIZATION OF DARBO'S FIXED POINT THEOREM
Sarvestani, Farzaneh Nikbakht
Vaezpour, S. Mansour
Asadi, Mehdi
JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 7 (03): : 78 - 94
[6] A GENERALIZATION OF DARBO'S FIXED POINT THEOREM WITH AN APPLICATION TO FRACTIONAL INTEGRAL EQUATIONS
Beloul, Said
Mursaleen, M.
Ansari, Arslan Hojet
JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (03): : 911 - 921
[7] SOME GENERALIZATIONS OF DARBO FIXED POINT THEOREM AND ITS APPLICATION
Arab, R.
MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 595 - 610
[8] AN APPLICATION OF DARBO'S FIXED POINT THEOREM TO A NONLINEAR QUADRATIC INTEGRAL EQUATION OF VOLTERRA TYPE
Liu, Zeqing
Ume, Jeong Sheok
Kang, Shin Min
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2010, 17 (02): : 175 - 183
[9] On New Extensions of Darbo's Fixed Point Theorem with Applications
Isik, Huseyin
Banaei, Shahram
Golkarmanesh, Farhan
Parvaneh, Vahid
Park, Choonkil
Khorshidi, Maryam
SYMMETRY-BASEL, 2020, 12 (03):
[10] Generalizations of Darbo's fixed point theorem for new condensing operators with application to a functional integral equation
Rehman, Habib Ur
Gopal, Dhananjay
Kumam, Poom
DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 166 - 182

← 1 2 3 4 5 →