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April  2009, 5(2): 381-390. doi: 10.3934/jimo.2009.5.381

On the generalized proximal point algorithm with applications to inclusion problems

Ram U. Verma 1,

1. 

International Publications (USA), 12085 Lake Cypress Circle, Suite I109, Orlando, Florida 32828, United States

Received  August 2008 Revised  October 2008 Published  April 2009

A class of generalized proximal point algorithms based on the $A-$ maximal monotonicity is introduced, and then it is applied to the approximation solvability of a general class of nonlinear inclusion problems using the generalized resolvent operator technique. This seems to be of interest in the sense that it is application-oriented.
Keywords: Variationalinclusions; Maximal monotone mapping; $A-$ maximal monotone mapping;Generalized resolvent operator; General proximal point algorithm..
Mathematics Subject Classification: Primary: 49J40; Secondary: 65B0.
Citation: Ram U. Verma. On the generalized proximal point algorithm with applications to inclusion problems. Journal of Industrial & Management Optimization, 2009, 5 (2) : 381-390. doi: 10.3934/jimo.2009.5.381
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