# American Institute of Mathematical Sciences

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

## On the generalized proximal point algorithm with applications to inclusion problems

 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.
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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