IJPAM: Volume 37, No. 4 (2007)

GENERALIZED MIXED CO-QUASI-VARIATIONAL
INCLUSIONS IN BANACH SPACES

Shamshad Husain
Department of Applied Mathematics
Z.H. College of Engineering and Technology
Aligarh Muslim University
Aligarh, 202002, INDIA
e-mail: [email protected]


Abstract.In this paper, we consider generalized mixed co-quasi-variational inclusions and propose an iterative algorithm for computing their approximate solutions by using definition of $J$-proximal mapping given in [#!r8!#]. We prove that the approximate solutions obtained by proposed algorithm converge to the exact solution of our co-quasi-variational inclusion. Some special cases are also discussed.

Received: March 31, 2007

AMS Subject Classification: 49J40, 47H10, 90C30

Key Words and Phrases: co-quasi-variational inclusion, subdifferentiable, $J$-proximal mapping, iterative algorithm, reflexive Banach space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 4