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Existence of solutions to non-linear quadratic integral equations via measure of non-compactness

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The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compactness. Firstly, we… Click to show full abstract

The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compactness. Firstly, we inquire into couple of exciting fixed point theorems involving a measure of non-compactness in the setting of a Banach space. Subsequently, bringing into play a suitable measure of non-compactness and the acquired results, we discuss the existence of solutions to the aforementioned kind of non-linear quadratic integral equations.

Keywords: non linear; measure non; non compactness; linear quadratic; quadratic integral

Journal Title: Filomat
Year Published: 2022

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