scholarly journals Mann and Ishikawa Type Perturbed Iterative Algorithms for Generalized Quasivariational Inclusions

1997 ◽  
Vol 209 (2) ◽  
pp. 572-584 ◽  
Author(s):  
K.R. Kazmi





2011 ◽  
Vol 2011 ◽  
pp. 1-26 ◽  
Author(s):  
Zhongping Wan ◽  
Jia-Wei Chen ◽  
Hai Sun ◽  
Liuyang Yuan

A new system of generalized mixed quasivariational inclusions (for short, SGMQVI) with relaxed cocoercive operators, which develop some preexisting variational inequalities, is introduced and investigated in Banach spaces. Next, the existence and uniqueness of solutions to the problem (SGMQVI) are established in real Banach spaces. From fixed point perspective, we propose some new iterative algorithms for solving the system of generalized mixed quasivariational inclusion problem (SGMQVI). Moreover, strong convergence theorems of these iterative sequences generated by the corresponding algorithms are proved under suitable conditions. As an application, the strong convergence theorem for a class of bilevel variational inequalities is derived in Hilbert space. The main results in this paper develop, improve, and unify some well-known results in the literature.



2002 ◽  
Vol 58 (9-10) ◽  
pp. 9
Author(s):  
Efim Grigor'evich Zelkin ◽  
Victor Filippovich Kravchenko ◽  
Miklhail Alekseevich Basarab


1989 ◽  
Author(s):  
DANIEL DORNEY ◽  
GEORGE DULIKRAVICH ◽  
KI LEE


1989 ◽  
Author(s):  
SEUNGSOO LEE ◽  
GEORGE DULIKRAVICH ◽  
DANIEL DORNEY


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