On local attractivity of nonlinear functional integral equations via measures of noncompactness

B. C. Dhage; S. B. Dhage; S. K. Ntouyas; H. K. Pathak

doi:10.26637/mjm302/009

Abstract

In this paper, we prove the local attractivity of solutions for a certain nonlinear Volterra type functional integral equations. We rely on a measure theoretic fixed point theorem of Dhage (2008) for nonlinear $D$-set-contraction in Banach spaces. Finally, we furnish an example to validate all the hypotheses of our main result and to ensure the existence and ultimate attractivity of solutions for a numerical nonlinear functional integral equation.

Keywords:

Measure of noncompactness, fixed point theorem, functional integral equation, attractivity of solutions

Mathematics Subject Classification:

45G10, 45G99

Authors Imprint References Funding Related Articles Downloads

B. C. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India.
S. B. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India.
S. K. Ntouyas Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
H. K. Pathak School of Studies in Mathematic, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010, India. https://orcid.org/0000-0002-4487-8507

Pages: 191-201
Date Published: 01-04-2015
Vol. 3 No. 02 (2015): Malaya Journal of Matematik (MJM)

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