Generalizations of the Nash equilibrium theorem in the KKM theory.
Generalized -resolvent operator technique and sensitivity analysis for relaxed cocoercive variational inclusions.
Generalized augmented Lagrangian problem and approximate optimal solutions in nonlinear programming.
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 convexity and optimization problems
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)...
Generalized invexities and global minimum properties.
Generalized Levitin-Polyak well-posedness of vector equilibrium problems.