Results 131 to 140 of about 278 (165)

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
openaire   +1 more source

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 ...
openaire   +2 more sources

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
openaire   +2 more sources

Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions

Journal of Global Optimization, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jabarootian, T., Zafarani, J.
openaire   +2 more sources

On Characterizations of D-η-Properly Prequasi-Invex Function

Journal of Systems Science and Complexity, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Huixian, Luo, Hezhi
openaire   +1 more source

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, A. Beato-Moreno, P. Luque-Calvo, A. Rufián-Lizana   +3 more
openaire   +1 more source

Second-order invex functions in nonlinear programming

Optimization, 2012
We introduce a notion of a second-order invex function. A Frechet differentiable invex function without any further assumptions is second-order invex. It is shown that the inverse claim does not hold. A Frechet differentiable function is second-order invex if and only if each second-order stationary point is a global minimizer.
openaire   +1 more source

Vector Invex N-set Functions and Minmax Programming

2001
Vector invexity and generalized vector invexity for n-set functions is introduced which is then utilized to establish sufficient optimality and duality results for a class of minmax programming problems involving n-set functions. Applications of these results to fractional programming problems are also presented.
Davinder Bhatia, Promila Kumar
openaire   +1 more source

Invex functions on differentiable manifolds

1999
The aim of this work is to prove the sufficiency of Kuhn-Tucker conditions in the frame of invex programming on differentiable manifolds. In addition we prove that the compact manifolds do not admit nonconstant invex function.
openaire   +2 more sources

Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly