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

Autor: Karmakar, Surajit, Garai, Hiranmoy, Dey, Lakshmi Kanta, Chanda, Ankush
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv