An Existence Result For A Class Of Nonlinear Volterra Functional Integral Equations

Authors

Neda Khodabakhshi - Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran
Adrian Petrusel - bFaculty of Mathematics and Computer Science, Babe-Bolyai University Cluj-Napoca, Koglniceanu Street, No. 1, Cluj-Napoca, Romania.

Abstract

Recently [N. Khodabakhshi, S. M. Vaezpour, Fixed Point Theory, to appear] provides sufficient conditions for the existence of common fixed point for two commuting operators using the technique associated to an abstract measure of non-compactness in Banach spaces. In this paper, we develope their work with further applicative investigation. More precisely, we give suitable assumptions in order to obtain the existence of solutions for a nonlinear integral equation.

Keywords

Coincidence point, common fixed point, measure of noncompactness

References

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