On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric [PDF]
Journal of Inequalities and Applications, 2016 We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
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Geraghty–𝔽-Contraction Type Darbo Fixed-Point Theorems With an Application
Journal of MathematicsIn this study, Darbo’s fixed-point theorem is extended by employing Geraghty–𝔽-contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C0,ς, equipped ...
Samira Hadi Bonab +4 more
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A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
PLoS OneIn this article, we have constructed generalized q-difference Motzkin sequence spaces [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] by composing q-Motzkin matrix with generalized q-difference matrix in the spaces ...
Quan JJ, Narrania D, Raj K, Cai QB.
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Decay mild solutions of the nonlocal Cauchy problem for second order evolution equations with memory [PDF]
, 2016 Our aim in this paper is to find out decay mild solutions of the nonlocal Cauchy problem for a class of second order evolution equations with memory. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence ...
Luong, Vu Trong
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Compactness in Groups of Group-Valued Mappings
Mathematics, 2022 We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure.
Diana Caponetti +2 more
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Impulsive Fractional Differential Inclusions and Almost Periodic Waves
Mathematics, 2021 In the present paper, the concept of almost periodic waves is introduced to discontinuous impulsive fractional inclusions involving Caputo fractional derivative.
Gani Stamov, Ivanka Stamova
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Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces
Journal of Inequalities and Applications, 2016 In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi +2 more
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Existence of weak solutions to stochastic evolution inclusions [PDF]
, 2004 We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinear term is multivalued and satisfies a condition which is more heneral than
De Fitte, Paul Raynaud +2 more
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Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
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Existence of mild solutions for impulsive neutral Hilfer fractional evolution equations
Advances in Difference Equations, 2020 In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional evolution equations with noninstantaneous impulsive conditions in a Banach space.
Pallavi Bedi +3 more
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