Some noncompact types of fixed point results in the generalized Banach spaces with respect to the G–weak topology contexts and applications

Autor: Noura Laksaci, Ahmed Boudaoui, Bilel Krichen, Aiman Mukheimer, Thabet Abdeljawad
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-21 (2023)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-023-03006-z
Popis: Abstract This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user-friendly lemmas. Moreover, these gained fixed point results are applied to study the existence of solutions of a coupled system for integral equations in the generalized Banach space C ( [ 0 , 1 ] , E 1 ) × C ( [ 0 , 1 ] , E 2 ) $\mathcal{{ C }} ( [0,1], E_{1} )\times \mathcal{{ C }} ( [0,1], E_{2} ) $ .
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje