caa a22 4500 463169387 CHVBK 20180406164809.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s10957-007-9225-x doi (NATIONALLICENCE)springer-10.1007/s10957-007-9225-x Unified Nonlinear Lagrangian Approach to Duality andOptimalPaths [Elektronische Daten] [C. Wang, X. Yang, X. Yang] In the context of an inequality constrained optimization problem, we present a unified nonlinear Lagrangian dual scheme and establish necessary and sufficient conditions for the zero duality gap property. From these results, we derive necessary and sufficient conditions for four classes of zero duality gap properties and establish the equivalence among them. Finally, we obtain the convergence of an optimal path for the unified scheme and present a sufficient condition for the finite termination of the optimal path. Springer Science+Business Media, LLC, 2007 Nonlinear Lagrangians nationallicence Nonlinear augmented Lagrangians nationallicence Zero duality gap nationallicence Optimal paths nationallicence Finite termination nationallicence Wang C. Institute of Operations Research, Qufu Normal University, Qufu, China aut Yang X. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China aut Yang X. Department of Mathematics, Chongqing Normal University, Chongqing, China aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/1(2007-10-01), 85-100 0022-3239 135:1<85 2007 135 10957 https://doi.org/10.1007/s10957-007-9225-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9225-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang C. Institute of Operations Research, Qufu Normal University, Qufu, China aut NATIONALLICENCE 700 1- Yang X. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China aut NATIONALLICENCE 700 1- Yang X. Department of Mathematics, Chongqing Normal University, Chongqing, China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 135/1(2007-10-01), 85-100 0022-3239 135:1<85 2007 135 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer