Solution of volterra integral equation in metric spaces via new fixed point theorem

Nawab Hussain; Abdullah Eqal Al-Mazrooei; Abdul Rahim Khan; Jamshaid Ahmad

doi:10.2298/FIL1812341H

Solution of volterra integral equation in metric spaces via new fixed point theorem

Nawab Hussain
, Abdullah Eqal Al-Mazrooei
, Abdul Rahim Khan
, Jamshaid Ahmad

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The aim of this article is to study the existence of coincidences and fixed points of generalized hybrid contractions involving single-valued mappings and left total relations in the context of complete metric spaces. Some special cases are also discussed to derive some well known results of the literature. Finally, some examples and applications are also presented to verify the effectiveness and applicability of our main results.

Original language	English
Pages (from-to)	4341-4350
Number of pages	10
Journal	Filomat
Volume	32
Issue number	12
DOIs	https://doi.org/10.2298/FIL1812341H
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018, University of Nis. All rights reserved.

Keywords

Coincidence point
Fixed point
Volterra integral equation
ψ-contractions

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2298/FIL1812341H

Cite this

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title = "Solution of volterra integral equation in metric spaces via new fixed point theorem",

abstract = "The aim of this article is to study the existence of coincidences and fixed points of generalized hybrid contractions involving single-valued mappings and left total relations in the context of complete metric spaces. Some special cases are also discussed to derive some well known results of the literature. Finally, some examples and applications are also presented to verify the effectiveness and applicability of our main results.",

keywords = "Coincidence point, Fixed point, Volterra integral equation, ψ-contractions",

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AU - Hussain, Nawab

AU - Al-Mazrooei, Abdullah Eqal

AU - Khan, Abdul Rahim

AU - Ahmad, Jamshaid

PY - 2018

Y1 - 2018

N2 - The aim of this article is to study the existence of coincidences and fixed points of generalized hybrid contractions involving single-valued mappings and left total relations in the context of complete metric spaces. Some special cases are also discussed to derive some well known results of the literature. Finally, some examples and applications are also presented to verify the effectiveness and applicability of our main results.

AB - The aim of this article is to study the existence of coincidences and fixed points of generalized hybrid contractions involving single-valued mappings and left total relations in the context of complete metric spaces. Some special cases are also discussed to derive some well known results of the literature. Finally, some examples and applications are also presented to verify the effectiveness and applicability of our main results.

KW - Coincidence point

KW - Fixed point

KW - Volterra integral equation

KW - ψ-contractions

UR - https://www.scopus.com/pages/publications/85058994319

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DO - 10.2298/FIL1812341H

M3 - Article

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JO - Filomat

JF - Filomat

IS - 12

ER -

Solution of volterra integral equation in metric spaces via new fixed point theorem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this