Resolvent operator method for general variational inclusions
نویسندگان
چکیده
منابع مشابه
Resolvent 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 کاملSome resolvent methods for general variational inclusions
osting by E Abstract In this paper, we consider and analyze some classes of resolvent-splitting methods for solving the general variational inclusions using the technique of updating the solution. These resolvent-splitting methods are self-adaptive-type methods, where the corrector step size involves the resolvent equation. We prove that the convergence of these new methods only require the pse...
متن کاملExplicit Parallel Resolvent Methods for System of General Variational Inclusions
In this paper, we introduce and consider a new system of extended general variational inclusions involving eight different operators. Using the resolvent operator techniques, we show that the new system of extended general variational inclusions is equivalent to the fixed point problem. We prove the strong convergence of some new explicit iterative parallel algorithms using resolvent methods un...
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 کاملH-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 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 Mathematical Inequalities
سال: 2009
ISSN: 1846-579X
DOI: 10.7153/jmi-03-45