Applications of measure of non-compactness and modified simulation function for solvability of nonlinear functional integral equations
Keyword(s):
In this work we introduce a modified version of simulation function and define a simulation type contraction mappings involving measure of non-compactness in the frame work of Banach space and derive some basic Darbo type fixed point results. Also, our theorem generalizes the Theorem 4 of [R. Arab, Some generalizations of Darbo fixed point theorem and its application, Miskolc Mathematical Notes, 18(2)(2017),595-610.] and extend some recent results. Further we show the applicability of obtained results to the theory of integral equations followed by two concrete examples.
2014 ◽
Vol 36
(1)
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pp. 29-40
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2015 ◽
Vol 3
(2)
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pp. 66
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2004 ◽
Vol 2004
(3)
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pp. 271-282
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