Variational and topological methods for operator equations involving duality mappings on Orlicz-Sobolev spaces.
Variational inequalities in noncompact nonconvex regions
In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ),...
Variational methods in nonlinear problems
Variational Principles for Monotone and Maximal Bifunctions
2000 Mathematics Subject Classification: 49J40, 49J35, 58E30, 47H05We establish variational principles for monotone and maximal bifunctions of Brøndsted-Rockafellar type by using our characterization of bifunction’s maximality in reflexive Banach spaces. As applications, we give an existence result of saddle point for convex-concave function and solve an approximate inclusion governed by a maximal monotone operator.
Variational sum of monotone operators.
Variational theory of set-valued Hammerstein operators in Banach function spaces. The eigenvalue problem
Variational-like inequalities for pseudomonotone operators.
Vector and operator valued measures as controls for infinite dimensional systems: optimal control
In this paper we consider a general class of systems determined by operator valued measures which are assumed to be countably additive in the strong operator topology. This replaces our previous assumption of countable additivity in the uniform operator topology by the weaker assumption. Under the relaxed assumption plus an additional assumption requiring the existence of a dominating measure, we prove some results on existence of solutions and their regularity properties both for linear and semilinear...
Vector integral equations with discontinuous right-hand side
We deal with the integral equation , with , and . We prove an existence theorem for solutions where the function is not assumed to be continuous, extending a result previously obtained for the case .
Vector-valued fuzzy multifunctions.
Verzweigung an Eigenwerten unendlicher Vielfachheit - Bemerkungen zu einer Arbeit von H.-P. Heinz.
Viability and generalized differential quotients
Viscosity approximation fixed points for nonexpansive and -accretive operators.
Viscosity approximation method for nonexpansive nonself-mapping and variational inequality.
Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings.
Viscosity approximation methods for nonexpansive nonself-mappings in Hilbert spaces.
Viscosity approximation of common fixed points for -Lipschitzian semigroup of pseudocontractive mappings in Banach spaces.
Viscosity approximation to common fixed points of families of nonexpansive mappings with weakly contractive mappings.
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces