Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application
Functional Analysis
2024-01-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2202.12945,
title = {Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application},
author = {Aref Jeribi and Najib Kaddachi and Zahra Laouar},
journal= {arXiv preprint arXiv:2202.12945},
year = {2024}
}