# American Institute of Mathematical Sciences

July  2013, 9(3): 671-687. doi: 10.3934/jimo.2013.9.671

## Stable strong and total parametrized dualities for DC optimization problems in locally convex spaces

 1 Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, China 2 Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong 3 Department of Mathematics, Soochow University, Suzhou, 215006

Received  June 2011 Revised  March 2013 Published  April 2013

By using properties of dualizing parametrization functions, Lagrangian functions and the epigraph technique, some sufficient and necessary conditions of the stable strong duality and strong total duality for a class of DC optimization problems are established.
Citation: Gang Li, Xiaoqi Yang, Yuying Zhou. Stable strong and total parametrized dualities for DC optimization problems in locally convex spaces. Journal of Industrial & Management Optimization, 2013, 9 (3) : 671-687. doi: 10.3934/jimo.2013.9.671
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