[PDF] Top 20 Nonlinear variational evolution inequalities in Hilbert spaces

... the nonlinear functional differential equa- tions with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f (·, ·): x (t) + Ax(t)+ ∂φ(x(t)) f (t,x(t))+h(t) is ... See full document

... between Hilbert C ∗ -modules and Hilbert spaces, but there is a funda- mental way in which Hilbert C ∗ -modules differ from Hilbert ...a Hilbert space any closed and convex set ... See full document

... propriate Hilbert space (namely a Sobolev space H  ...of variational inequalities as a tool for solving boundary value problems owes much to the pioneering work of ...normed spaces of any ... See full document

... We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three di ff erent operators in Hilbert spaces by the convergence of projection ... See full document

... generalized nonlinear mixed variational-like in- equalities in reflexive Banach ...generalized nonlinear mixed varia- tional-like inequality, extend the auxiliary problem technique to suggest and ... See full document

... Let C be a nonempty closed convex subset of a real Hilbert space H. Let F : C → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, V, T : C → C be nonexpansive mappings with FixT / ... See full document

... general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are ...of nonlinear set-valued (mixed) variational inequalities problems, it ... See full document

... Recently, variational inequality theory has been extended and applied in various direc- tions, see [6, 7, 8, 9, 10] and the references ...several nonlinear variational-like inequalities in ... See full document

... 4 Ya. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. Kartsators, ... See full document

... of nonlinear ordered variational inclusion ...of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the ... See full document

... of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex ... See full document

... of nonlinear variational inequality problems in nonempty closed convex subsets and nonempty convex subsets of reflex- ive Banach spaces and topological vector spaces, ... See full document

... Variational inequalities are among the most interesting and intensively studied classes of mathematical problems and have wide applications in the fields of optimization and con- trol, economics, ... See full document

... cocoercive nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of the projection methods. The results presented in this paper extend and improve ... See full document

... We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence ... See full document

... the nonlinear differential equation with delay nonlinear terms governed by the variational inequality in Hilbert ...the nonlinear terms and the compactness of the principal operators, we ... See full document

... generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the gen- eralized resolvent operator technique ... See full document

... Motivated by [, ], we obtain some new theorems for nonlinear operators which are not cone mappings by means of variational and partial ordered methods. This paper is organized as follows. Section  is ... See full document

... the interval [0, R) and since the function ψ(t) := ∥ (1 − t)T + tV ∥ is convex on [0, 1] we have that f a ′ ◦ ψ is also convex on [0, 1]. Utilising the Hermite- Hadamard inequality for convex functions (see for instance ... See full document

... Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given.. Applications for vector inequalities a[r] ... See full document