Leray–Schauder Fixed Point Theorems for Block Operator Matrix with an Application

Autor: Farid, Mohamed Amine, Marhrani, El Miloudi, Aamri, Mohamed
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematics.
ISSN: 2314-4629
DOI: 10.1155/2021/9985817
Popis: In this paper, we establish some new variants of Leray–Schauder-type fixed point theorems for a 2×2 block operator matrix defined on nonempty, closed, and convex subsets Ω of Banach spaces. Note here that Ω need not be bounded. These results are formulated in terms of weak sequential continuity and the technique of De Blasi measure of weak noncompactness on countably subsets. We will also prove the existence of solutions for a coupled system of nonlinear equations with an example.
Databáze: OpenAIRE
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