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.

Hemant Kumar Nashine

Department of Mathematics

School of Advanced Sciences

Vellore Campus

R.P. Pathak

P.S. Somvanshi

S. Pantelic

P. Kumam

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

Advances in Difference Equations

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

Journal	Advances in Difference Equations
ISSN	16871839