Abstract
Under F-convexity, F-concavity/F-pseudoconvexity, F-pseudoconcavity, appropriate duality results for a pair of Wolfe and Mond–Weir type symmetric dual nonlinear programming problems in complex spaces are established. These results are then used to develop second order F-convexity, F-concavity, second order F-pseudoconvexity, F-pseudoconcavity, and appropriate second order symmetric dual nonlinear programming problems in complex spaces.
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