Auxiliary principle and fuzzy variational-like inequalities
نویسندگان
چکیده
منابع مشابه
Auxiliary 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 کاملAuxiliary principle for generalized nonlinear variational-like inequalities
We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like inequalities. By using the auxiliary principle technique, we construct a new iterative scheme for solving the class of the generalized nonlinear variational-like inequalities. The convergence of the sequence...
متن کاملAuxiliary Principle for Generalized Strongly Nonlinear Mixed Variational-Like Inequalities
We introduce and study a class of generalized strongly nonlinear mixed variational-like inequalities, which includes several classes of variational inequalities and variational-like inequalities as special cases. By applying the auxiliary principle technique and KKM theory, we suggest an iterative algorithm for solving the generalized strongly nonlinear mixed variationallike inequality. The exi...
متن کاملPartially Relaxed Cocoercive Variational Inequalities and Auxiliary Problem Principle
Let T : K → H be a mapping from a nonempty closed convex subset K of a finitedimensional Hilbert space H into H . Let f : K → R be proper, convex, and lower semicontinuous on K and let h : K → R be continuously Frećhet-differentiable on K with h′ (gradient of h), α-strongly monotone, and β-Lipschitz continuous on K . Then the sequence {xk} generated by the general auxiliary problem principle co...
متن کاملAuxiliary Principle Technique for Extended General Variational Inequalities
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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2005
ISSN: 1029-242X
DOI: 10.1155/jia.2005.479