arXiv subjects

Najib Kaddachi

Publications and source records attributed to Najib Kaddachi.

4 recordsLinked to original sources

arXiv2024

Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces

In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs. Moreover, we derive some Krasnoselskii's fixe point results for multi-valued mappings in generalized Banach spaces. Our results are applied to a large class of nonlinear inclusions systems.

math.FA↗

arXiv2022

On existence theorems of a functional differential equations in partially ordered Banach algebras

In this paper we are concerned with existence results for a coupled system of quadratic functional differential equations. This system is reduced to a fixed point problem for a block operator matrix with nonlinear inputs. To prove the existence we are established some fixed point theorem of Dhage's type for the block matrix operator acting in partially ordered Banach algebras.

math.FA↗

arXiv2022

Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions

In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and the product of three multi-valued mappings defined on nonempty, closed convex set of Banach algebras are also presented. These results improve and complement a number of earlier works. As an application, we prove existence results for a broad class of nonlinear functional integral inclusions as well as nonlinear differential inclusions.

math.FA↗

arXiv2022

Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application

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.

math.FA↗