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

Surajit Karmakar | Zendy; Hiranmoy Garai | Zendy; Lakshmi Kanta Dey | Zendy; Ankush Chanda | Zendy

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

Author(s) -

Surajit 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.

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