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Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo’s Fixed Point Theorem

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Abstract The objective of this article is to establish a fixed point theorem using different class of control functions, which is a generalization of Darbo’s fixed point theorem (DFPT) and… Click to show full abstract

Abstract The objective of this article is to establish a fixed point theorem using different class of control functions, which is a generalization of Darbo’s fixed point theorem (DFPT) and its various versions obtained by several authors. Using this result we obtain existence of at least one positive solution for a quadratic integral equation of Fredholm type.

Keywords: generalization darbo; darbo fixed; point theorem; fixed point

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019

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