Title: Dhage Iteration Method for Generalized Quadratic Functional Integral Equations
Author(s): Bapurao C. Dhage
Pages: 59-69
Cite as:
Bapurao C. Dhage, Dhage Iteration Method for Generalized Quadratic Functional Integral Equations, Int. J. Anal. Appl., 7 (1) (2015), 59-69.

Abstract


In this paper we prove the existence as well as approximations of the solutions for a certain nonlinear generalized quadratic functional integral equation. An algorithm for the solutions is developed and it is shown that the sequence of successive approximations starting at a lower or upper solution converges monotonically to the solutions of related quadratic functional integral equation under some suitable mixed hybrid conditions. We rely our main result on Dhage iteration method embodied in a recent hybrid fixed point theorem of Dhage (2014) in partially ordered normed linear spaces. An example is also provided to illustrate the abstract theory developed in the paper.

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