Results 191 to 200 of about 1,264 (229)
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-invex-infine functions and applications

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Invex sets and preinvex functions [PDF]

open access: possible, 2015
We study the fundamental inequalities for preinvex functions. The result relating to preinvex functions on the invex set that satisfies condition C shows that such functions are convex on every generated line segment. As a result of such convexity, we provide basic forms of the most important inequalities in order to specifically apply them to preinvex
Pavić, Zlatko   +2 more
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Invex Functions and Generalized Convexity in Multiobjective Programming

Journal of Optimization Theory and Applications, 1998
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Osuna-Gómez, Rafaela   +2 more
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Invex-convexlike functions and duality

Journal of Optimization Theory and Applications, 1995
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On Invex Functions in Hilbert Space

Journal of Information and Optimization Sciences, 2016
AbstractIn this paper invex functions have been introduced in Hilbert space. Some important results regarding the characterization of such functions have been discussed. It has been proved that although being a generalization of the class of convex functions, this class of functions posses some properties which are not true in case of the class of ...
Sandip Chatterjee, R.N. Mukherjee
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Generalized invexity of nonsmooth functions

Nonlinear Analysis: Theory, Methods & Applications, 2008
In the first part of the paper the relations between several kinds of generalized invexity are studied for locally Lipschitz continuous functions. The kinds of generalized invexity which are considered comprise (quasi, strict quasi) preinvexity, quasi invexity, (strict) pseudo invexity, and new concepts of invexity called weak invexity and weak quasi ...
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Nonsmooth vector-valued invex functions and applications

Journal of Information and Optimization Sciences, 2000
Various types of locally Lipschitz vector-valued invex (and generalized invex) functions are examined. Then the said classes of nonsmooth invex functions are used in order to formulate sufficient generalized Kuhn-Tucker results for a multiobjective programming problem, both with a conical ordering and in the Paretian case.Weakly efficient, efficient ...
GIORGI G., GUERRAGGIO, ANGELO
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Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions

Journal of Global Optimization, 2006
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Jabarootian, T., Zafarani, J.
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On Characterizations of D-η-Properly Prequasi-Invex Function

Journal of Systems Science and Complexity, 2007
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Wu, Huixian, Luo, Hezhi
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Invex and Pseudoinvex Functions in Multiobjective Programming

1997
D. H. Martin studied the optimality conditions of invex functions in the scalar case. In this work we will generalize his results making them applicable to the vectorial case. We will prove that equivalences between minima and stationary points are still true if we have to optimize p-objective functions instead of one objective function.
R. Osuna-Gómez   +3 more
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