In this paper a general theorem on the replacement of the condition “for all λ in the definition of generalizedconvexity properties of lower semicontinuous functions by the condition “there exists a λ” is shown....
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In this paper, we introduce a new class of convexfunctions, which is called generalized harmonic convexfunctions on fractal sets ℝα (0 α ≤ 1). This new class of convexfunctions includes generalizedconvex functi...
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A nonlinear multiple objective programming problem is considered where the functions involved are nondifferentiable. By considering the concept of weak minima, the Fritz John type and Karush-Kuhn-Tucker type necessary...
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A nonlinear multiple objective programming problem is considered where the functions involved are nondifferentiable. By considering the concept of weak minima, the Fritz John type and Karush-Kuhn-Tucker type necessary optimality conditions and Wolfe and Mond-Weir type duality results are given in terms of the right differentials of the functions. The duality results are stated by using the concepts of generalized semilocally convexfunctions.
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