[PDF][PDF] Generalized form of fixed point theorems in Banach algebras under weak topology with an application

N Kaddachi - Filomat, 2019 - doiserbia.nb.rs
In this manuscript, by means of the technique of measures of weak noncompactness, we
establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix …

Fixed-point theorems for multivalued operator matrix under weak topology with an application

A Jeribi, N Kaddachi, B Krichen - Bulletin of the Malaysian Mathematical …, 2020 - Springer
In the present paper, we establish some fixed-point theorems for a 2 * 2 2× 2 block operator
matrix involving multivalued maps acting on Banach spaces. These results are formulated in …

Fixed point theorems for weakly asymptotically regular mappings in Banach spaces with an application

A Jeribi, N Kaddachi, Z Laouar - Numerical Functional Analysis and …, 2022 - Taylor & Francis
Using the technique of measures of weak non-compactness we obtain the existence of fixed
points of a 2× 2 block operator matrix involving nonlinear maps in non-separable Banach …

[PDF][PDF] Existence results for a system of nonlinear integral equations in Banach algebras under weak topology

A Jeribi, N Kaddachi, B Krichen - Fixed Point Theory, 2017 - academia.edu
This paper is devoted to the study of a coupled system of nonlinear functional integral
equations in suitable Banach algebras. This system is reduced to a fixed point problem for a …

Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

J Banaś, B Krichen, B Mefteh - Filomat, 2020 - doiserbia.nb.rs
The paper is devoted to prove a few fixed point theorems for operators acting in WC-Banach
algebras and satisfying some conditions expressed in terms of a generalized Lipschitz …

Some fixed-point theorems for block operator matrix

A Boudaoui, N Laksaci - 2020 2nd International Conference on …, 2020 - ieeexplore.ieee.org
The propose of this manuscript is to study some user-friendly versions of fixed point theorem
of Schauder and Krasnoselskii for 2× 2 block operator matrix on product of two Banach …

Fixed point theorem via measure of noncompactness and application to Volterra integral equations in Banach algebras

JR Roshan, HK Nashin - Journal of Mathematical Extension, 2019 - ijmex.com
We propose a new notion of contraction mappings for two class of functions involving
measure of noncompactness in Banach space and derive some basic Darbo type fixed and …

On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations

J Banaś, L Olszowy - Zeitschrift für Analysis und ihre Anwendungen, 2009 - ems.press
We introduce a class of measures of noncompactness in Banach algebras satisfying certain
condition and we prove a fixed point theorem for the product of two operators being …

Fixed points and solutions of operator equations for the weak topology in Banach algebras

J Banaś, MA Taoudi - 2014 - projecteuclid.org
In this paper we prove some fixed point theorems for operators acting in Banach algebras
and satisfying conditions expressed mainly with help of weak topology and measures of …

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

N Laksaci, A Boudaoui, B Krichen, A Mukheimer… - Journal of Inequalities …, 2023 - Springer
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 …