Open AccessExistence of solutions to non-linear quadratic integral equations via measure of non-compactness
Author(s) -
Sankha Karmakar,
Hiranmoy Garai,
Lakshmi Kanta Dey,
Ankush Chanda
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2201073k
Subject(s) - compact space , mathematics , measure (data warehouse) , quadratic equation , banach space , mathematical analysis , integral equation , type (biology) , space (punctuation) , pure mathematics , ecology , linguistics , philosophy , geometry , database , computer science , biology
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.