Approximation of common solutions for variational inequalities and fixed point of strict pseudo-contractions in q-uniformly smooth Banach spaces
نویسندگان
چکیده
منابع مشابه
On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces
We introduce a general iterative algorithm for finding a common element of the common fixedpoint set of an infinite family of λi-strict pseudocontractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in a q-uniformly smooth Banach space. Then, we prove a strong convergence theorem for the iterative sequence generated by the prop...
متن کاملIterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudo-contractions in a q-uniformly smooth Banach space
In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality. Furthermore, we prove the strong convergence theorems of such iterative scheme in a q-uniformly smooth Banach space which admits a weakly sequentially continuous generalized du...
متن کاملGeneral System for Strongly Accretive Nonlinear Variational Inequalities in q−Uniformly Smooth Banach Spaces
The approximate solvability of a generalized system for strongly accretive nonlinear variational inequalities in q−uniformly smooth Banach spaces is studied, based on the convergence of sunny nonexpansive retraction projection methods. The results presented in this paper extend and improve the main results of R.U.Verma[General convergence analysis for two-step projection methods and application...
متن کاملSTRONG CONVERGENCE THEOREMS FOR GENERAL VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES
In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a general variational inequality and the set of common fixed points of an infinite family of nonexpansive mappings in q-uniformly smooth Banach space. We obtain some strong convergence theorems under suitable conditions. Furthermore we give an appropriate example such that all condition...
متن کاملFixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces
The purpose of this article is to introduce two iterative algorithms for finding a common fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some variational inequality. We provide two algorithms, one implicit and another explicit, from which strong convergence theorems are obtained in a uniformly convex Banach space, which admits a weakly continuou...
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: Fixed Point Theory and Applications
سال: 2015
ISSN: 1687-1812
DOI: 10.1186/s13663-015-0264-y