Generalized invexities and global minimum properties.
Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The integrands are finite on the positive and infinite on the negative numbers, strictly convex but not necessarily differentiable. The minimization is viewed as a primal problem and studied together with a dual one in the framework of convex duality. The effective domain of the value function is described by a conic core, a modification of the earlier concept of convex core. Minimizers...
Generalized nonlinear implicit quasivariational inclusions.
Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings.
Generalized nonlinear mixed quasi-variational inequalities involving maximal -monotone mappings.
Generalized nonlinear pseudococoercive variational inequalities and general proximal point methods.
Generalized nonlinear variational inclusions involving -monotone mappings in Hilbert spaces.
Generalized nonlinear variational inequality problems involving multivalued mappings.
Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle.
Generalized quasi-variational inequalities and duality.
Generalized set-valued variational-like inclusions and Wiener--Hopf equations in Banach spaces.
Generalized strongly nonlinear implicit quasivariational inequalities.
Generalized variational inequalities and associated nonlinear equations
Here we consider the solvability based on iterative algorithms of the generalized variational inequalities and associated nonlinear equations.
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line segments in X such...
Generalized variational inequalities involving relaxed monotone mappings and nonexpansive mappings.
Generalized variational inequalities of the Hartman-Stampacchia-Browder type.
Generalized variational principle for long water-wave equation by He's semi-inverse method.
Generalized variational-like inequalities for pseudo-monotone type III operators
Our aim in this paper is mainly to prove some existence results for solutions of generalized variational-like inequalities with (η,h)-pseudo-monotone type III operators defined on non-compact sets in topological vector spaces.
Generalized vector complementarity problems with moving cones.
Generalized vector equilibrium-like problems without pseudomonotonicity in Banach spaces.