Existence and uniqueness of continuous solution of mixed type integra equations in cone metric space

Abstract

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space.Mathematics Subject Classification: 45N05, 47G20, 34K05, 47H10.

Fixed Points of Subadditive Maps with an Application to a System of Volterra–Fredholm Type Integrodifferential Equations

“…Recently, an attractive work on separating maps between different spaces of functions (as well as, operator algebras) is considered (see [14][15][16][17] and references therein). e existence, uniqueness, continuation, and other properties of solutions for nonlinear integral and integrodifferential equations are studied in [18][19][20][21][22][23][24][25]. e purpose of this work is to prove some new fixedpoint theorems for strongly subadditive maps and to ensure the existence and uniqueness of solutions for the following system of Volterra-Fredholm type integrodifferential equations:…”