Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic (Φ,Ψ, θ)-contraction

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Author list: Nashine H.K., Pathak R.P., Somvanshi P.S., Pantelic S., Kumam P.

Publisher: SpringerOpen

Publication year: 2013

Journal: Advances in Difference Equations (1687-1839)

Volume number: 2013

ISSN: 1687-1839

eISSN: 1687-1847

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84888880022&doi=10.1186%2f1687-1847-2013-106&partnerID=40&md5=a35373de529ed6f510906069f342816c

Languages: English-Great Britain (EN-GB)

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Abstract

We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic (Φ,Ψ, θ)-contractive mappings. Nontrivial examples are given to support the usability of our results. © 2013 Nashine et al.; licensee Springer.

Keywords

Differential Equation