Results 21 to 30 of about 269 (133)
Hausdorff Measures of Noncompactness and Interpolation Spaces [PDF]
, 2006 2000 Mathematics Subject Classification: 46B50, 46B70, 46G12. A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips. From the main result, classical results are obtained now as corollaries and we have an application to interpolation
da Silva, Eduardo Brandani +1 more
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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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Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces
Journal of Function Spaces, 2014 We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
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Neutral functional differential equations of second-order with infinite delays
Electronic Journal of Differential Equations, 2010 This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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Controllability of nonlinear differential evolution systems in a separable Banach space
Electronic Journal of Differential Equations, 2012 In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan +1 more
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Nonlocal fractional semilinear differential equations in separable Banach spaces
Electronic Journal of Differential Equations, 2013 In this article, we study the existence of mild solutions for fractional semilinear differential equations with nonlocal conditions in separable Banach spaces.
Kexue Li, Jigen Peng, Jinghuai Gao
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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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Compact operators on the Jordan totient sequence spaces [PDF]
, 2021 The necessary and sufficient conditions for compactness of a matrix operator between Banach spaces is obtained by utilizing the concept of the Hausdorff measure of noncompactness.
Fuat Usta +5 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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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
Operators and Matrices, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent and bounded sequences, Thai J. Math. 8(2) (2010) 311–329].
M. Mursaleen, Abdullah K. Noman
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