New numerical scheme for solving integral equations via fixed point method using distinct (ω -F)-contractions

被引：24

作者：

Panda, Sumati Kumari ^{[1
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

Swamy, K. Kumara ^{[1
]}

机构：

[1] GMR Inst Technol, Dept Math, Rajam 532127, Andhra Pradesh, India

[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 04期

关键词：

(omega - F)-contraction; Ciric type (omega - F)-contraction; (omega ~ F-alpha)-contraction; g(bM)-metric space; F-CONTRACTIONS; THEOREMS; SPACE;

D O I：

10.1016/j.aej.2019.12.034

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we introduce the notion of (omega -F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation. The effectiveness of this fixed point approach is illustrated by numerical example. (c) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

引用

页码：2015 / 2026

页数：12

共 50 条

[1] 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):
[2] Solving Fredholm Integral Equations Using Probabilistic F-Contractions
Tahiri, Ismail
Achtoun, Youssef
Sefian, Mohammed Lamarti
Radenovic, Stojan
AXIOMS, 2025, 14 (02)
[3] Fixed point method for solving nonlinear quadratic Volterra integral equations
Maleknejad, K.
Torabi, P.
Mollapourasl, R.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (06) : 2555 - 2566
[4] FIXED POINT RESULTS FOR MULTIVALUED F-CONTRACTIONS WITH APPLICATION TO INTEGRAL AND MATRIX EQUATIONS
Hussain, Nawab
Latif, Abdul
Iqbal, Iram
Kutbi, M. A.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (11) : 2297 - 2311
[5] On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations
Qawagneh, Haitham
Noorani, Mohd Salmi
Aydi, Hassen
Shatanawi, Wasfi
MATHEMATICS, 2019, 7 (11)
[6] Generalization of Darbos Fixed Point Theorem via SRμ-Contractions with Application to Integral Equations
Zarinfar, Farzad
Khojasteh, Farshid
Vaezpour, Mansour
FILOMAT, 2018, 32 (01) : 55 - 69
[7] Numerical approximations for fractional equations in R via the new method of fixed point
Radouane, Azennar
Bentahar, Sophia
Mentagui, Driss
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (04) : 977 - 986
[8] Solving a System of Volterra-Fredholm Integral Equations of the Second kind via Fixed Point Method
Hasan, Talaat I.
Salleh, Shaharuddin
Sulaiman, Nejmaddin A.
INNOVATION AND ANALYTICS CONFERENCE AND EXHIBITION (IACE 2015), 2015, 1691
[9] Solving Integral Equation and Homotopy Result via Fixed Point Method
Alamri, Badriah
MATHEMATICS, 2023, 11 (21)
[10] Fixed Point Theorems for Manageable Contractions with Application to Integral Equations
Hussain, N.
Iqbal, I.
Alamri, Badriah A. S.
Kutbi, M. A.
JOURNAL OF FUNCTION SPACES, 2017, 2017

← 1 2 3 4 5 →