IJPAM: Volume 60, No. 1 (2010)
HYBRID PROXIMAL POINT ALGORITHMS ON
MAXIMAL MONOTONICITY FOR
NONLINEAR VARIATIONAL INCLUSIONS

NONLINEAR VARIATIONAL INCLUSIONS
Ram U. Verma
Department of Mathematics
Seminole State College of Florida
Sanford, FL 32773, USA
e-mail: verma99@msn.com
Department of Mathematics
Seminole State College of Florida
Sanford, FL 32773, USA
e-mail: verma99@msn.com
Abstract.A general framework for a hybrid proximal point algorithm using the notion of -monotonicity is developed. Convergence analysis for this algorithm in the context of solving a class of nonlinear inclusion problems is explored along with some results on the resolvent operator corresponding to
-monotonicity.
Received: February 23, 2010
AMS Subject Classification: 49J40, 65B05
Key Words and Phrases: variational inclusions, maximal monotone mapping, -maximal monotone mapping, generalized resolvent operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 1