Results 21 to 30 of about 660 (67)
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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Journal of Inequalities and Applications, 2014 In this paper, we introduce the concepts of well-posedness, and of well-posedness in the generalized sense for parametric generalized vector quasivariational inequality problems of the Minty type.
N. Hung
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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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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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Exterior sphere condition and time optimal control for differential inclusions [PDF]
, 2011 The minimum time function $T(\cdot)$ of smooth control systems is known to be locally semiconcave provided Petrov's controllability condition is satisfied. Moreover, such a regularity holds up to the boundary of the target under an inner ball assumption.
Cannarsa, Piermarco, Nguyen, Khai T.
core +4 more sources
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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Algorithmic and analytical approach to the split common fixed points problem
Fixed Point Theory and Applications, 2014 The split problem, especially the split common fixed point problem, has been studied by many authors. In this paper, we study the split common fixed point problem for the pseudo-contractive mappings and the quasi-nonexpansive mappings.
Lijun Zhu +3 more
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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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Fixed Point Theory and Applications, 2014 As a generalization of the KKM theorem in (Yang and Pu in J. Optim. Theory Appl. 154:17-29 2012), we propose some new nonempty intersection theorems for an infinite family of set-valued mappings without convexity assumptions, and consider generic ...
Zhe Yang
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