Geodesic
Existence of solutions to non-linear quadratic integral equations via measure of non-compactness
Filomat, Tome 36 (2022) no. 1, p. 73

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DOI

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
DOI : 10.2298/FIL2201073K
Classification : 47H10, 54H25
Keywords: Measure of non-compactness, quadratic integral equations, Darbo fixed point theorem, Mizoguchi-Takahashi functions, Banach spaces 
Surajit Karmakar; Hiranmoy Garai; Lakshmi Kanta Dey; Ankush Chanda. Existence of solutions to non-linear quadratic integral equations via measure of non-compactness. Filomat, Tome 36 (2022) no. 1, p. 73 . doi: 10.2298/FIL2201073K
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     title = {Existence of solutions to non-linear quadratic integral equations via measure of non-compactness},
     journal = {Filomat},
     pages = {73 },
     year = {2022},
     volume = {36},
     number = {1},
     doi = {10.2298/FIL2201073K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201073K/}
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