Algorithm for a New System of Completely Generalized Multi-valued Variational Inclusions

2009 ◽  
Author(s):  
Abul Hasan Siddiqi ◽  
Syed Shakaib Irfan ◽  
A. H. Siddiqi ◽  
M. Brokate ◽  
A. K. Gupta
Keyword(s):  
Variational Inclusions ◽  
New System

scholarly journals Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

2018 ◽  
Vol 51 (1) ◽  
pp. 241-254
Author(s):  
Jong Kyu Kim ◽  
Muhammad Iqbal Bhat
Keyword(s):  
Iterative Algorithm ◽  
Resolvent Operator ◽  
Monotone Operators ◽  
Inner Product ◽  
Operator Technique ◽  
Variational Inclusions ◽  
Inclusion Problems ◽  
Resolvent Operator Technique ◽  
The Resolvent Operator ◽  
New System

AbstractIn this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces. We define the resolvent operator associated with A-monotone and H-monotone operators and prove its Lipschitz continuity. Using resolvent operator technique, we prove the existence and uniqueness of solution for this new system of variational inclusions. Moreover, we suggest an iterative algorithm for approximating the solution of this system and discuss the convergence analysis of the sequences generated by the iterative algorithm under some suitable conditions.

scholarly journals On a new system of nonlinear A-monotone multivalued variational inclusions

2007 ◽  
Vol 327 (1) ◽  
pp. 481-493 ◽  
Author(s):  
Heng-You Lan ◽  
Jin Ho Kim ◽  
Yeol Je Cho
Keyword(s):  
Variational Inclusions ◽  
New System
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