Results 21 to 30 of about 14,437 (302)
Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces
Mathematics, 2020 In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
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Mathematics, 2023 In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch ...
Thitiporn Linitda +3 more
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Mathematics, 2023 In this work, we concentrate on the existence of the solutions set of the following problem cDqασ(t)∈F(t,σ(t),cDqασ(t)),t∈I=[0,T]σ0=σ0∈E, as well as its topological structure in Banach space E. By transforming the problem posed into a fixed point problem,
Ali Rezaiguia, Taher S. Hassan
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An existence result for a class of nonlinear integral equations of fractional orders
Nonlinear Analysis, 2016 Using a measure of non-compactness argument, we study in this paper the existence of solutions for a class of functional equations involving a fractional integral with respect to another function.
Ravi P. Agarwala, Bessem Samet
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Advances in Difference Equations, 2020 In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction.
Ashish Kumar +4 more
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Axioms, 2021 In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this
Kulandhaivel Karthikeyan +3 more
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Measures of weak non-compactness in spaces of nuclear operators [PDF]
Mathematische Zeitschrift, 2019 We show that in the space of nuclear operators from $\ell^q( )$ to $\ell^p(J)$ the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas for these measures. As a consequence the same is proved for preduals of atomic von Neumann algebras.
Hamhalter, Jan, Kalenda, Ondřej F. K.
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Measures of weak non-compactness in preduals of von Neumann algebras and JBW⁎-triples [PDF]
Journal of Functional Analysis, 2020 58 pages; the paper was revised - some misprints were corrected, some proofs were done in more detail, some proofs were simplified, references were ...
Hamhalter, Jan +3 more
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Progressive contractions, measures of non-compactness and quadratic integral equations [PDF]
Differential Equations & Applications, 2019 The authors use the method of progressive contractions and the measures of non-compactness to obtain a unique asymptotically stable solution of the quadratic integral equation \[ x(t) = g(t, x(t)) + f (t, x(t)) \int_0^t (t-s)^{\beta-1} v(t, s, x(s))ds,\quad t\geq0. \] In my opinion this paper is very nice and very interesting.
Burton, T. A., Purnaras, I. K.
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Arab Journal of Basic and Applied Sciences, 2020 In this article, we establish some results for the existence of solution of nonlinear functional integral equations by using Darbo’s fixed point theorem in Banach algebra.
Amar Deep, Deepmala, Cemil Tunç
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