General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems.
General variational inclusions in spaces.
Generalised functions of bounded deformation
We introduce the space of generalized functions of bounded deformation and study the structure properties of these functions: the rectiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a compactness results for , which leads to a compactness result for the space of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational...
Generalised twists, , and the -energy over a space of measure preserving maps
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
Generalizations of the Nash equilibrium theorem in the KKM theory.
Generalized auxiliary problem principle and solvability of a class of nonlinear variational inequalities involving cocoercive and co-Lipschitzian mappings.
Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets
In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s...
Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets.
Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.
Generalized characterization of the convex envelope of a function
We investigate the minima of functionals of the formwhere is strictly convex. The admissible functions are not necessarily convex and satisfy on , , , is a fixed function on . We show that the minimum is attained by , the convex envelope of .
Generalized Characterization of the Convex Envelope of a Function
We investigate the minima of functionals of the form where g is strictly convex. The admissible functions are not necessarily convex and satisfy on [a,b], u(a)=f(a), u(b)=f(b), f is a fixed function on [a,b]. We show that the minimum is attained by , the convex envelope of f.
Generalized co-complementarity problems in -uniformly smooth Banach spaces.
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on -maximal monotonicity frameworks.
Generalized frameworks for first-order evolution inclusions based on Yosida approximations.
Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear -accretive mappings in Banach spaces.
Generalized -quasivariational inequality.
Generalized gradient flow and singularities of the Riemannian distance function
Significant information about the topology of a bounded domain of a Riemannian manifold is encoded into the properties of the distance, , from the boundary of . We discuss recent results showing the invariance of the singular set of the distance function with respect to the generalized gradient flow of , as well as applications to homotopy equivalence.
Generalized gradients for locally Lipschitz integral functionals on non--type spaces of measurable functions
Let (Ω,μ) be a measure space, E be an arbitrary separable Banach space, be the dual equipped with the weak* topology, and g:Ω × E → ℝ be a Carathéodory function which is Lipschitz continuous on each ball of E for almost all s ∈ Ω. Put . Consider the integral functional G defined on some non--type Banach space X of measurable functions x: Ω → E. We present several general theorems on sufficient conditions under which any element γ ∈ X* of Clarke’s generalized gradient (multivalued C-subgradient)...