Resolvent operator technique for solving a system of generalized variational-like inclusions in Banach spaces
نویسندگان
چکیده
منابع مشابه
H-Accretive Operators Resolvent Operator Technique Solving Variational Inclusions in Banach Spaces
K e y w o r d s H a c c r e t i v e operator, Resolvent operator technique, Variational inclusion, Iterative algorithm. 1. I N T R O D U C T I O N A N D P R E L I M I N A R I E S Variational inequalities and variational inclusions are among the most interesting and important mathematical problems and have been studied intensively in the past years since they have wide applications in mechanics,...
متن کاملA Resolvent Operator Technique for Solving Generalized System of Nonlinear Relaxed Cocoercive Mixed Variational Inequalities
The aim of this work is to use resolvent operator technique to find the common solutions for a system of generalized nonlinear relaxed cocoercive mixed variational inequalities and fixed point problems for Lipschitz mappings in Hilbert spaces. The results obtained in this work may be viewed as an extension, refinement and improvement of the previously known results.
متن کاملGeneralized ( a , Η ) − Resolvent Operator Technique and Sensitivity Analysis for Relaxed Cocoercive Variational Inclusions
Sensitivity analysis for relaxed cocoercive variational inclusions based on the generalized resolvent operator technique is discussed The obtained results are general in nature.
متن کاملSystem of Mixed Variational-Like Inclusions and -Proximal Operator Equations in Banach Spaces
In this paper, we introduce and study a system of mixed variational-like inclusions and a system of proximal operator equations in Banach spaces which contains variational inequalities, variational inclusions, resolvent equations, system of variational inequalities and system of variational inclusions in the literature as special cases. It is established that the system of mixed variational-lik...
متن کاملResolvent Operator Method for General Variational Inclusions
In this paper, we introduce a new class of variational inclusions involving three operator. Using the resolvent operator technique, we establish the equivalence between the general variational inclusions and the resolvent equations. We use this alternative equivalent formulation to suggest and analyze some iterative methods for solving the general variational inclusions. We also consider the cr...
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: Filomat
سال: 2012
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1205897a