Results 1 to 10 of about 74 (72)
Iterative roots of upper semicontinuous multifunctions [PDF]
Advances in Difference Equations, 2017 The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009).
Pingping Zhang, Liguo Huang
doaj +3 more sources
Hausdorff Metric on the Space of Upper Semicontinuous Multifunctions
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ľubica Holá
exaly +4 more sources
Brittle membranes in finite elasticity
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 11, November 2023., 2023 This work is devoted to the variational derivation of a reduced model for brittle membranes in finite elasticity. The main mathematical tools we develop for our analysis are: (i) a new density result in GSBVp$GSBV^{p}$ of functions satisfying a maximal‐rank constraint on the subgradients, which can be approximated by C1‐local immersions on regular ...
Stefano Almi +2 more
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Existence of multiple solutions for a wide class of differential inclusions†
Mathematische Nachrichten, Volume 296, Issue 1, Page 152-163, January 2023., 2023 Abstract We give a unified approach to study the existence of multiple positive solutions of nonlinear differential inclusions of the form −u′′(t)∈F(t,u(t)),a.e.t∈(0,1),$$\begin{equation*}\hskip7pc -u^{\prime \prime }(t)\in F(t,u(t)),\; \text{a.e.} \; t \in (0,1), \end{equation*}$$subject to various nonlocal boundary conditions. We study these problems
Filomena Cianciaruso +1 more
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Existence of Solutions for Inclusion Problems in Musielak‐Orlicz‐Sobolev Space Setting
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this paper, we mainly prove the existence of (weak) solutions of an inclusion problem with the Dirichlet boundary condition of the following form: L ∈ A(x, u, Du) + F(x, u, Du), in Ω, and u = 0, on ∂Ω, in Musielak‐Orlicz‐Sobolev spaces W01LΦΩ by using the surjective theorem, where Ω ⊂ ℝN is a bounded Lipschitz domain, L belongs to the dual space ...
Ge Dong, Xiaochun Fang, Serena Matucci
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Hβ‐Hausdorff functions for β ∈ [0, 1] are introduced, and common fixed‐point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b‐metric space. Our results are proper extensions and new variants of many contraction conditions existing in literature.
Fahad Sameer Alshammari +3 more
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A New Notion of Fuzzy Local Function and Some Applications
Advances in Fuzzy Systems, Volume 2022, Issue 1, 2022., 2022 In this paper, a new notion of fuzzy local function called r‐fuzzy local function is introduced, and some properties are given in a fuzzy ideal topological space (X, τ, ℓ) in Šostak sense. After that, the concepts of fuzzy upper (resp., lower) almost ℓ‐continuous, weakly ℓ‐continuous, and almost weakly ℓ‐continuous multifunctions are introduced.
I. M. Taha +2 more
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On r‐Generalized Fuzzy ℓ‐Closed Sets: Properties and Applications
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present study, we introduce and characterize the class of r‐generalized fuzzy ℓ‐closed sets in a fuzzy ideal topological space (X, τ, ℓ) in Šostak sense. Also, we show that r‐generalized fuzzy closed set by Kim and Park (2002) ⟹r‐generalized fuzzy ℓ‐closed set, but the converse need not be true.
I. M. Taha, Ljubisa Kocinac
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The main concentration of the present research is to explore several theoretical criteria for proving the existence results for the suggested boundary problem. In fact, for the first time, we formulate a new hybrid fractional differential inclusion in the φ‐Caputo settings depending on an increasing function φ subject to separated mixed φ‐hybrid ...
Sh. Rezapour +5 more
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Topologically Transitive and Mixing Properties of Set‐Valued Dynamical Systems
Abstract and Applied Analysis, Volume 2021, Issue 1, 2021., 2021 We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set‐valued setting. We prove some implications of these two properties for set‐valued functions and generalize some results from a single‐valued case to a set‐valued case.
Koon Sang Wong +2 more
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