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Titlebook: Generalized Convexity, Generalized Monotonicity and Applications; Proceedings of the 7 Andrew Eberhard,Nicolas Hadjisavvas,Dinh The Luc Con

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On the Pseudoconvexity of the Sum of Two Linear Fractional Functionsis transformation preserves pseudoconvexity of a function. The result is then used to characterize sums of two linear fractional functions which are still pseudoconvex. This in turn leads to a characterization of pseudolinear sums of two linear fractional functions.
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Applying Global Optimization to a Problem in Short-Term Hydrothermal Schedulingsentation of a polynomial function as a difference of convex polynomials. An adapted algorithm, which uses a combined method of outer approximation and prismatical subdivisions, has been implemented to solve this problem. The solution obtained with a local optimization package is also included and their results are compared.
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Conference proceedings 2005tics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of
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1571-568X erial: In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the re
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Concise Guide to Computation Theoryte to convex sets. By giving a central role to a separation property of downward sets similar to that of convex sets, a theory of monotonic optimization can be developed which parallels d.c. optimization in several respects.
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Energy Cascade and Pinch Analysis,der the weak assumption that the multifunction of the problem is pseudomonotone at a solution, closed, lower hemicontinuous, and bounded on each bounded subset (it is not necessarily continuous). Some numerical test problems are implemented by using MATLAB with encouraging effectiveness.
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Shailendra Kumar,Sudhirkumar V. Baraiated second order directional derivative is demanded this forces the first order subdifferential to possess a local Lipschitz property. To enable the study of a broader classes of nonsmooth functions we show that a combination of the infimal and integral convolutions needs to be used when constructing approximating smooth functions.
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