EXISTENCE OF SOLUTIONS TO NON-LINEAR QUADRATIC INTEGRAL EQUATIONS VIA MEASURE OF NON-COMPACTNESS

Surajit Karmakar, Hiranmoy Garai, Lakshmi Kanta Dey, Ankush Chanda

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 solution to the aforementioned kind of non-linear quadratic integral equations.


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