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arXiv · 2008.06221

Existence of Solutions to Non-linear Quadratic Integral Equations via Measure of Non-Compactness

Surajit Karmakar·Hiranmoy Garai·Lakshmi Kanta Dey·Ankush Chanda
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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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Surajit Karmakar, Hiranmoy Garai, Lakshmi Kanta Dey, Ankush Chanda. 2020-08-14. Existence of Solutions to Non-linear Quadratic Integral Equations via Measure of Non-Compactness. https://arxiv.org/abs/2008.06221

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