On Existence Theorems For Some Generalized Nonlinear Functional-Integral Equations With Applications

Keywords

Banach algebra; Fixed point theorem; Measures of noncompactness; Nonlinear functional-integral equation

Abstract

In the present paper, utilizing the techniques of suitable measures of noncompactness in Banach algebra, we prove an existence theorem for nonlinear functional-integral equation which contains as particular cases several integral and functional-integral equations that appear in many branches of nonlinear analysis and its applications. We employ the fixed point theorems such as Darbo’s theorem in Banach algebra concerning the estimate on the solutions. We also provide a nontrivial example that explains the generalizations and applications of our main result.

Publication Date

1-1-2017

Publication Title

Filomat

Volume

31

Issue

7

Number of Pages

2081-2091

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.2298/FIL1707081N

Socpus ID

85016033234 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85016033234

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