Results 11 to 20 of about 594 (49)
Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Mixed variational inequalities and economic equilibrium problems
Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002 We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley +1 more source
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
doaj +1 more source
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
Characterizations of Super-regularity and its Variants
, 2018 Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis +10 more
core +1 more source