Geodesic
Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application
Filomat, Tome 36 (2022) no. 18, p. 6253

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence results for the solutions under mixed Lipschitz and weakly sequentially continuous conditions. Finally, an example is given to illustrate the result.
DOI : 10.2298/FIL2218253J
Classification : 46E15, 46E40, 47H10, 37C25, 47N20
Keywords: Banach space, weakly compact, Measure of weak non-compactness, Fixed point theory, Integral equations 
Aref Jeribi; Najib Kaddachi; Zahra Laouar. Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application. Filomat, Tome 36 (2022) no. 18, p. 6253 . doi: 10.2298/FIL2218253J
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     author = {Aref Jeribi and Najib Kaddachi and Zahra Laouar},
     title = {Generalized form of fixed-point theorems in generalized {Banach} algebra relative to the weak topology with an application},
     journal = {Filomat},
     pages = {6253 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218253J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218253J/}
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