Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

Soniya Singh; Bhupander Singh; Kottakkaran Sooppy Nisar; Abd Allah Hyder; M. Zakarya

doi:10.1186/s13662-021-03506-6

Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

Soniya Singh
, Bhupander Singh
, Kottakkaran Sooppy Nisar
, Abd Allah Hyder
, M. Zakarya

Mathematics

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

6 Scopus citations

Abstract

In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.

Original language	English
Article number	372
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03506-6
State	Published - Dec 2021

Keywords

Functional integral equation (in short FIE)
Measure of noncompactness (in short MNC)
Petryshyn’s fixed point theorem

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10.1186/s13662-021-03506-6

Cite this

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title = "Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness",

abstract = "In this article, we provide the existence result for functional integral equations by using Petryshyn{\textquoteright}s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.",

keywords = "Functional integral equation (in short FIE), Measure of noncompactness (in short MNC), Petryshyn{\textquoteright}s fixed point theorem",

author = "Soniya Singh and Bhupander Singh and Nisar, \{Kottakkaran Sooppy\} and Hyder, \{Abd Allah\} and M. Zakarya",

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AU - Singh, Soniya

AU - Singh, Bhupander

AU - Nisar, Kottakkaran Sooppy

AU - Hyder, Abd Allah

AU - Zakarya, M.

PY - 2021/12

Y1 - 2021/12

N2 - In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.

AB - In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.

KW - Functional integral equation (in short FIE)

KW - Measure of noncompactness (in short MNC)

KW - Petryshyn’s fixed point theorem

UR - https://www.scopus.com/pages/publications/85112029599

U2 - 10.1186/s13662-021-03506-6

DO - 10.1186/s13662-021-03506-6

M3 - Article

AN - SCOPUS:85112029599

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 372

ER -

Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness

Abstract

Keywords

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