Fixed Points of Subadditive Maps with an Application to a System of Volterra–Fredholm Type Integrodifferential Equations-Reference-Cited by-同舟云学术

Fixed Points of Subadditive Maps with an Application to a System of Volterra–Fredholm Type Integrodifferential Equations

Published:2019-11-04 Issue: Volume:2019 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Işık Hüseyin¹²^ORCID,Moeini Bahman³^ORCID,Aydi Hassen⁴⁵^ORCID,Mlaiki Nabil⁶^ORCID

Affiliation:

1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam

2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam

3. Department of Mathematics, Hidaj Branch, Islamic Azad University, Hidaj, Iran

4. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, Hammam Sousse 4000, Tunisia

5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

6. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In this paper, some fixed-point theorems are established for strongly subadditive maps on CΩ,ϒ (where CΩ,ϒ denotes the space of ϒ-valued continuous functions on a compact Hausdorff space Ω and ϒ is a unital Banach algebra). Finally, the result is applied to prove the existence and uniqueness of a solution for a system of nonlinear integrodifferential equations.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2019/6925891.pdf

Reference28 articles.

1. A new computational method for Volterra-Fredholm integral equations

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4. He’s variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations

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