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- W3080237625 abstract "In this paper, we study the Karush–Kuhn–Tucker optimality conditions in an optimization problem with interval-valued objective function on Hadamard manifolds. The gH-directional differentiability for interval-valued function is defined by using the generalized Hukuhara difference. The concepts of interval-valued convexity and pseudoconvexity are introduced on Hadamard manifolds, and several properties involving such functions are also given. Under these settings, we derive the KKT optimality conditions and give a numerical example to show that the results obtained in this paper are more general than the corresponding conclusions of Wu [The Karush–Kuhn–Tucker optimality conditions in an optimization problem with interval-valued objective function. Eur J Oper Res. 2007;176:46–59] in solving the optimization problem with interval-valued objective function." @default.
- W3080237625 created "2020-09-01" @default.
- W3080237625 creator A5002184624 @default.
- W3080237625 date "2020-08-26" @default.
- W3080237625 modified "2023-10-15" @default.
- W3080237625 title "The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds" @default.
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- W3080237625 doi "https://doi.org/10.1080/02331934.2020.1810248" @default.
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