IJPAM: Volume 36, No. 4 (2007)

GENERAL SYSTEM OF $(A,\eta)-$MONOTONE
VARIATIONAL INCLUSION PROBLEMS BASED
ON A GENERALIZED HYBRID ALGORITHM

Ram U. Verma
Department of Mathematics
University of Toledo
Toledo, Ohio 43606, USA
e-mail: verma99@msn.com


Abstract.In this paper, a newsy stem of nonlinear set-valued variational inclusions involving $(A,\eta )$-monotone mappings in Hilbert spaces is introduced and examined. Using $(A,\eta )$-resolvent operator method, approximation solvability of this system based on a generalized iterative algorithm is investigated. The obtained results are general in nature.

Received: March 14, 2007

AMS Subject Classification: 49J40, 47H10

Key Words and Phrases: $(A,\eta )$-monotone mapping, system of nonlinear set-valued variational inclusions, resolvent operator method, iterative algorithm

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 4