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

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.

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Veröffentlicht in:	Advances in difference equations 2021-08, Vol.2021 (1), p.1-12, Article 372
Hauptverfasser:	Singh, Soniya, Singh, Bhupander, Nisar, Kottakkaran Sooppy, Hyder, Abd-Allah, Zakarya, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Banach spaces Difference and Functional Equations Fixed points (mathematics) Functional Analysis Functional integral equation (in short FIE) Integral equations Mathematical analysis Mathematics Mathematics and Statistics Measure of noncompactness (in short MNC) Ordinary Differential Equations Partial Differential Equations Petryshyn’s fixed point theorem
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Beschreibung
Zusammenfassung:	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.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03506-6