Results 1 to 10 of about 451 (54)
Improving KKM Theory on General Metric Type Spaces
Topological Algebra and its Applications, 2021 A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they ...
Park Sehie
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x ...
Kopacz Piotr
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1035-1045, 2004., 2004 We use Nadler′s theorem and the resolvent operator technique for m‐accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the ...
A. H. Siddiqi, Rais Ahmad
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Monotonicity and differential properties of the value functions in optimal control
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 65, Page 3513-3540, 2004., 2004 Using the “basic monotonicity property” along locally admissible trajectories, we extend to very general problems certain existing results concerning the differential inequalities verified by the value function of an optimal control problem; these differential inequalities are expressed in terms of its contingent, quasitangent, and peritangent (Clarke ...
Ştefan Mirică
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Pricing under dynamic risk measures
Open Mathematics, 2019 In this paper, we study the discrete-time super-replication problem of contingent claims with respect to an acceptable terminal discounted cash flow.
Zhao Jun +2 more
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Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 50, Page 2653-2680, 2004., 2004 We consider nonlinear mappings f : X → Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E = f(X). Some sufficient as well as necessary and sufficient conditions for restrictive metric regularity are obtained, which particularly include ...
Boris S. Mordukhovich, Bingwu Wang
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Existence results for general inequality problems with constraints
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 601-619, 2003., 2003 This paper is concerned with existence results for inequality problems of type F0(u; v) + Ψ′(u; v) ≥ 0, for all v ∈ X, where X is a Banach space, F : X → ℝ is locally Lipschitz, and Ψ : X → (−∞ + ∞] is proper, convex, and lower semicontinuous. Here F0 stands for the generalized directional derivative of F and Ψ′ denotes the directional derivative of Ψ.
George Dincă +2 more
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Partial differential hemivariational inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai +2 more
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Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
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