Results 1 to 10 of about 55 (54)
Open Mathematics, 2021 This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the
Gabeleh Moosa +3 more
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Existence of positive solutions for a class of BVPs in Banach spaces
, 2021 In this work, we use index fixed point theory for perturbation of expansive mappings by £-set contractions to study the existence of bounded positive solutions for a class of two-point boundary value problem (BVP) associated to second-order nonlinear ...
BENZENATI, Lyna +2 more
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On Darbo’s fixed point principle
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper, we prove the following generalization of the classical Darbo fixed point principle : Let X be a Banach space and µ be a montone measure of noncompactness on X which satisfies the generalized Cantor intersection property.
Taoudi Mohamed Aziz
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Demonstratio Mathematica, 2023 In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
Patle Pradip Ramesh +2 more
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Solvability for a nonlocal dispersal model governed by time and space integrals
Open Mathematics, 2022 This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved.
Yu Yang-Yang, Wang Fu-Zhang
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Generalization of Darbo type generalized F - contraction and Consequences.
, 2023 The main intention of this work is to introduce some new generalized F-contraction in the setting of abstract Banach space. Thereafter we prove some Darbo type fixed point theorems and its consequences using measure of non-compactness.
Vishal Nikam1 +2 more
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, 2023 The purpose of this work is to establish an extension of a Leggett- Williams type expansion-compression fixed point theorem for a sum of two operators. As illustration, our approach is applied to prove the existence of non-trivial, nonnegative solutions ...
GEORGIEV, Svetlin G. +2 more
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Alexandria Engineering Journal, 2022 The aim of this work is to give some fixed point results based on the technique of measure of noncompactness which extend the classical Darbo’s theorem.
Anupam Das +3 more
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Alexandria Engineering Journal, 2023 This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque +2 more
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Journal of Inequalities and Applications, 2023 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 ...
Noura Laksaci +4 more
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