Auxiliary Principle Technique for Extended General Variational Inequalities
نویسندگان
چکیده
In this paper, we use the auxiliary principle technique to study the existence of a solution of the extended general variational inequalities, which were introduced and studied by the author. Several special cases are also discussed.
منابع مشابه
On Auxiliary Principle for Equilibrium Problems
The auxiliary problem principle introduced by Cohen is extended to a general equilibrium problem. In particular, applications to variational inequalities and to convex optimization problems are analysed.
متن کاملEquilibrium Problems and Variational Inequalities
In this paper, we suggest and analyze some iterative methods for solving equilibrium problems with trifunction by using the auxiliary principle technique. We prove that the convergence of the proposed methods either requires only pseudomonotonicity or partially relaxed strongly monotonicity. We also consider the concept of well-posedness for equilibrium problems with trifunction and obtain some...
متن کاملPredictor-corrector Methods for Generalized General Multivalued Mixed Quasi Variational Inequalities
In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized general mixed quasi variational inequalities, suggest a predictor-corrector method for solving the generalized general mixed quasi variational inequalities by using the auxiliary principle technique. If ...
متن کاملAuxiliary Principle and Fuzzy Variational-like Inequalities
The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general auxiliary principle technique, Ky Fan’s KKM theorem, Nadler’s fixed point theorem, and some new analytic techniques, so...
متن کاملGeneral equilibrium bifunction variational inequalities
In this paper, we introduce and consider a new class of equilibrium variational inequalities, called the mixed general equilibrium bifunction variational inequalities. We suggest and analyze some proximalmethods for solvingmixed general equilibriumbifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under somemild suitable condi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008