Results 31 to 40 of about 813 (141)
Cyclic (Noncyclic) ϕ-condensing operator and its application to a system of differential equations [PDF]
, 2019 We establish a best proximity pair theorem for noncyclic ϕ-condensing operators in strictly convex Banach spaces by using a measure of noncompactness. We also obtain a counterpart result for cyclic ϕ-condensing operators in Banach spaces to guarantee the
Gabeleh M., Moshokoa S. P., Vetro C.
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An existence result for neutral functional differential inclusions in a Banach space [PDF]
, 2008 In this paper we prove the existence of mild solutions for semilinear neutral functional differential inclusions with unbounded linear part generating a noncompact semigroup in a Banach space. This work generalizes the result given in [4]
Guedda, Lahcene, Hallouz, A.
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Second order evolution equations with nonlocal conditions
Demonstratio Mathematica, 2017 In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces.
Benchohra Mouffak +2 more
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AIMS Mathematics, 2023 Regarding the Hausdorff measure of noncompactness, we provide and demonstrate a generalization of Petryshyn's fixed point theorem in Banach algebras. Comparing this theorem to Schauder and Darbo's fixed point theorems, we can skip demonstrating closed ...
Ateq Alsaadi +2 more
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Measure of noncompactness of operators and matrices on the spaces c and c0
International Journal of Mathematics and Mathematical Sciences, 2006 In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse +2 more
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space
Advances in Difference Equations, 2021 A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem +2 more
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Compactness of quadruple band matrix operator and geometric properties
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 In this work, we characterize the class of compact matrix operators from c0(Q), c(Q) and l∞(Q) into c0, c and l∞, respectively, with the notion of the Hausdorff measure of noncompactness.
Mustafa Cemil Bişgin +1 more
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Nonlinear Analysis, 2018 In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces.
JinRong Wang +2 more
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On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings
Mathematics, 2023 The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C is a compact mapping, A is a bounded, closed and convex subset of
Huaping Huang +3 more
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Compact Operators for Almost Conservative and Strongly Conservative Matrices
Abstract and Applied Analysis, 2014 We obtain the necessary and sufficient conditions for an almost conservative matrix to define a compact operator. We also establish some necessary and sufficient (or only sufficient) conditions for operators to be compact for matrix classes (f,X), where ...
S. A. Mohiuddine +2 more
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