Geodesic
Measures of noncompactness in the Banach space BC(R + × R + , E) and its application to infinite system of integral equation in two variables
Filomat, Tome 37 (2023) no. 12, p. 3791

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DOI

The purpose of this paper is to study the existence of solutions to an infinite system of Volterra-Hammerstein type nonlinear integral equations in two variables in Banach space BC(R + × R + , E) using functions that are defined, continuous and bounded on R + × R + , taking values in a given Banach space E. The method used in our research is linked to the creation of a suitable measure of noncompactness in the space of functions defined, continuous and bounded on R + × R + with values in the space ℓ ∞ consisting of real bounded sequences endowed with the standard supremum norm. An example exemplifies our investigations.
DOI : 10.2298/FIL2312791J
Classification : 47H08, 45G15
Keywords: Sequence spaces, Measures of noncompactness, Infinite system of integral equations, Fixed point theorem of Darbo type, Space of functions continuous and bounded on R+ ×R+ 
Tanweer Jalal; Asif Hussain Jan. Measures of noncompactness in the Banach space BC(R + × R + , E) and its application to infinite system of integral equation in two variables. Filomat, Tome 37 (2023) no. 12, p. 3791 . doi: 10.2298/FIL2312791J
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     title = {Measures of noncompactness in the {Banach} space {BC(R} + {\texttimes} {R} + , {E)} and its application to infinite system of integral equation in two variables},
     journal = {Filomat},
     pages = {3791 },
     year = {2023},
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     doi = {10.2298/FIL2312791J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312791J/}
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