IJPAM: Volume 55, No. 2 (2009)
ALGORITHMS TO THE APPROXIMATION SOLVABILITY
OF NONLINEAR VARIATIONAL INCLUSIONS
Department of Mathematical Sciences
Florida Institute of Technology
Melbourne, FL 32901, USA
e-mail: verma99@msn.com
Abstract.Applying the notion of relatively maximal -relaxed monotonicity to the approximation solvability of a general class of inclusion problems, a generalization to the investigation of Eckstein and Bertsekas (1992) on the weak convergence using the proximal point algorithm in a real Hilbert space setting is achieved. Further more, it can be used to generalize the Yosida approximation, which, in turn, can be applied to first-order evolution inclusions.
Received: August 1, 2009
AMS Subject Classification: 49J40, 47H10, 65B05
Key Words and Phrases: inclusion problems, maximal monotone mapping, relatively maximal -relaxed monotone mapping, generalized resolvent operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 2