Results 111 to 120 of about 6,202,679 (144)
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Note on generalized invex functions
Optimization Letters, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehui Yuan +2 more
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Various types of nonsmooth invex functions
Journal of Information and Optimization Sciences, 1996Abstract The aim of this paper is to consider various proposals for the extension to a nonsmooth setting of the class of invex functions. In particular we consider functions endowed with generalized directional derivatives in the sense of Clarke, Demyanov and Rubinov, Pshenichnyi, Jeyakumar and Ye.
G. GIORGI, GUERRAGGIO, ANGELO
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-invex-infine functions and applications
Nonlinear Analysis: Theory, Methods & Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Invex Functions in Hilbert Space
Journal of Information and Optimization Sciences, 2016AbstractIn 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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Invex sets and preinvex functions [PDF]
, 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, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osuna-Gómez, Rafaela +2 more
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Generalizedb-invex vector valued functions
Journal of Statistics and Management Systems, 2002Summary: The aim of this paper is to provide some first results regarding to the extension to the vector valued case of the \(b\)-invex functions. Some definitions are given for both the nonsmooth case and the differentiable case; the inclusion relationships among the introduced families of functions are studied and some results regarding to vector ...
CAMBINI, RICCARDO, BECTOR C. R.
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Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Jabarootian, Jafar Zafarani
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Generalized invexity of nonsmooth functions
Nonlinear Analysis: Theory, Methods & Applications, 2008In 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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Invex and Pseudoinvex Functions in Multiobjective Programming
1997D. 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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