[图书][B] Vector optimization

J Jahn - 2009 - Springer
The continuous and increasing interest concerning vector optimization perceptible in the
research community, where contributions dealing with the theory of duality abound lately …

Generalized invexity and generalized invariant monotonicity

XM Yang, XQ Yang, KL Teo - Journal of optimization theory and …, 2003 - Springer
In this paper, several kinds of invariant monotone maps and generalized invariant monotone
maps are introduced. Some examples are given which show that invariant monotonicity and …

[图书][B] Constrained Optimization and Image Space Analysis: Volume 1: Separation of Sets and Optimality Conditions

F Giannessi - 2005 - books.google.com
Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has
been working on an approach to optimization theory based on image space analysis. His …

The KKT optimality conditions in a class of generalized convex optimization problems with an interval-valued objective function

J Zhang, S Liu, L Li, Q Feng - Optimization Letters, 2014 - Springer
In this paper, we study the Karush–Kuhn–Tucker optimality conditions in a class of
nonconvex optimization problems with an interval-valued objective function. Firstly, the …

[图书][B] Generalized convexity and vector optimization

SK Mishra, SY Wang, KK Lai - 2009 - Springer
The present lecture note is dedicated to the study of the optimality conditions and the duality
results for nonlinear vector optimization problems, in finite and infinite dimensions. The …

[HTML][HTML] Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (α, m)-preinvex functions

MA Latif, M Shoaib - Journal of the Egyptian Mathematical Society, 2015 - Elsevier
Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (α,m)-preinvex
functions - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Generalized Minty vector variational-like inequalities and vector optimization problems

S Al-Homidan, QH Ansari - Journal of optimization theory and applications, 2010 - Springer
In this paper, we study the relationship among the generalized Minty vector variational-like
inequality problem, generalized Stampacchia vector variational-like inequality problem and …

On Geodesic E-Convex Sets, Geodesic E-Convex Functions and E-Epigraphs

A Iqbal, S Ali, I Ahmad - Journal of Optimization Theory and Applications, 2012 - Springer
In this paper, we introduce a new class of sets and a new class of functions called geodesic
E-convex sets and geodesic E-convex functions on a Riemannian manifold. The concept of …

[PDF][PDF] On Simpson-like type integral inequalities for differentiable preinvex functions

J Park - Appl. Math. Sci, 2013 - m-hikari.com
On Simpson-like Type Integral Inequalities for Differentiable Preinvex Functions 1 Introduction
Page 1 Applied Mathematical Sciences, Vol. 7, 2013, no. 121, 6009 - 6021 HIKARI Ltd …

Generalized invariant monotonicity and invexity of non-differentiable functions

T Jabarootian, J Zafarani - Journal of Global Optimization, 2006 - Springer
This paper is devoted to the study of relationships between several kinds of generalized
invexity of locally Lipschitz functions and generalized monotonicity of corresponding …