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Transversality Properties: Primal Sufficient Conditions
The paper studies ‘good arrangements’ (transversality properties) of collections of sets in a normed vector space near a given point in their...
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Optimality conditions in set optimization employing higher-order radial derivatives
There are two approaches of defining the solutions of a set-valued optimization problem: vector criterion and set criterion. This note is devoted to...
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Epi-convergence Properties of Smoothing by Infimal Convolution
This paper concerns smoothing by infimal convolution for two large classes of functions: convex, proper and lower semicontinous as well as for (the...
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Nondifferentiable minimax fractional programming in complex spaces with parametric duality
The purpose of this paper is to study a duality programming problem for a complex nondifferentiable minimax fractional programming with complex...
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On the subdifferential of the supremum of an arbitrary family of extended real-valued functions
In this paper, we derive a new formula for the subdifferential of the supremum of an arbitrary family of extended real-valued functions, in terms of...
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Convex Inequalities Without Constraint Qualification nor Closedness Condition, and Their Applications in Optimization
Given two convex lower semicontinuous extended real valued functions F and h defined on locally convex spaces, we provide a dual transcription of the...
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Feasibility and solvability of Lyapunov-type linear programming over symmetric cones
In this paper, we consider the Lyapunov-type linear programming and its dual over symmetric cones. By introducing and characterizing the generalized...
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Optimality for (h,φ)-multiobjective programming involving generalized type-I functions
Based upon Ben-Tal’s generalized algebraic operations, new classes of functions, namely ( h,φ )-type-I, quasi ( h,φ )-type-I, and pseudo ( h,φ )-type-I,...
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Global parametric sufficient optimality conditions for discrete minmax fractional programming problems containing generalized (θ, η, ρ)-V-invex functions and arbitrary norms
The purpose of this paper is to develop a fairly large number of sets of global parametric sufficient optimality conditions under various generalized (...
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Mutation, selection, and ancestry in branching models: a variational approach
We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled...
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Variational analysis of functions of the roots of polynomials
The Gauss-Lucas Theorem on the roots of polynomials nicely simplifies the computation of the subderivative and regular subdifferential of the...
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Generalized Lagrange Multipliers for Nonconvex Directionally Differentiable Programs
A class of nonconvex optimization problems in which all the functions involved are directionally differentiable is considered. Necessary optimality...