scholarly journals GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (Aω,ηω )-ACCRETIVE MAPPINGS IN BANACH SPACES

2010 ◽  
Vol 03 (01) ◽  
pp. 63-77 ◽  
Author(s):  
HONG GANG LI
Keyword(s):  
Banach Spaces ◽  
Variational Inclusions ◽  
Random Set ◽  
Accretive Mappings ◽  
Fuzzy Random

scholarly journals An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces

2004 ◽  
Vol 2004 (20) ◽  
pp. 1035-1045 ◽  
Author(s):  
A. H. Siddiqi ◽  
Rais Ahmad
Keyword(s):  
Banach Spaces ◽  
Iterative Algorithm ◽  
Resolvent Operator ◽  
Existence Of Solutions ◽  
Operator Technique ◽  
Variational Inclusions ◽  
Special Cases ◽  
Accretive Mappings ◽  
Resolvent Operator Technique ◽  
The Resolvent Operator

We use Nadler's theorem and the resolvent operator technique form-accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the iterative sequences generated by the algorithm in real Banach spaces. Some special cases are also discussed.

Variational inclusion governed by αβ-H((.,.),(.,.))-mixed accretive mapping

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6529-6542
Author(s):  
Sanjeev Gupta ◽  
Shamshad Husain ◽  
Vishnu Mishra
Keyword(s):  
Banach Spaces ◽  
Iterative Algorithm ◽  
Lipschitz Continuity ◽  
Variational Inclusion ◽  
Variational Inclusions ◽  
Accretive Mapping ◽  
Proximal Point ◽  
Point Mapping ◽  
Accretive Mappings

In this paper, we look into a new concept of accretive mappings called ??-H((.,.),(.,.))-mixed accretive mappings in Banach spaces. We extend the concept of proximal-point mappings connected with generalized m-accretive mappings to the ??-H((.,.),(.,.))-mixed accretive mappings and discuss its characteristics like single-valuable and Lipschitz continuity. Some illustration are given in support of ??-H((.,.),(.,.))-mixed accretive mappings. Since proximal point mapping is a powerful tool for solving variational inclusion. Therefore, As an application of introduced mapping, we construct an iterative algorithm to solve variational inclusions and show its convergence with acceptable assumptions.

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