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- Miguel A. Goberna, Francisco Guerra Vázquez, Maxim I. Todorov
- European Journal of Operational Research
- 2013

- Francisco Guerra Vázquez, Hubertus Th. Jongen, Vladimir Shikhman
- SIAM Journal on Optimization
- 2010

- Francisco Guerra Vázquez, Jan-J. Rückmann
- SIAM Journal on Optimization
- 2005

This paper deals with the class of generalized semi-infinite programming problems (GSIPs) in which the index set of the inequality constraints depends on the decision vector and all emerging functions are assumed to be continuously differentiable. We introduce two extensions of the Kuhn–Tucker constraint qualification (which is based on the existence of a… (More)

- Francisco Guerra Vázquez, Harald Günzel, Hubertus Th. Jongen
- Annals OR
- 2001

We consider the maximum function f resulting from a finite number of smooth functions. The logarithmic barrier function of the epigraph of f gives rise to a smooth approximation gε of f itself, where ε > 0 denotes the approximation parameter. The one-parametric family gε converges – relative to a compact subset – uniformly to the function f as ε tends to… (More)

- Miguel A. Goberna, Francisco Guerra Vázquez, Maxim I. Todorov
- European Journal of Operational Research
- 2016

Convex vector (or multi-objective) semi-infinite optimization deals with the simultaneous minimization of finitely many convex scalar functions subject to infinitely many convex constraints. This paper provides characterizations of the weakly efficient, efficient and properly efficient points in terms of cones involving the data and Karush-Kuhn-Tucker… (More)

- Harald Günzel, Francisco Guerra Vázquez, Hubertus Th. Jongen
- SIAM Journal on Optimization
- 2006

- Jürgen Guddat, Francisco Guerra Vázquez, Dieter Nowack, Jan-J. Rückmann
- European Journal of Operational Research
- 2006

- Dominik Dorsch, Francisco Guerra Vázquez, Harald Günzel, Hubertus Th. Jongen, Jan-J. Rückmann
- Math. Program.
- 2012

We consider semi-infinite programming problems SIP(z) depending on a finite dimensional parameter z ∈ Rp. Provided that x̄ is a strongly stable stationary point of SIP(z̄), there exists a locally unique and continuous stationary point mapping z → x(z). This defines the local critical value function φ(z) := f (x(z); z), where x → f (x; z) denotes the… (More)

- Francisco Guerra Vázquez, Hubertus Th. Jongen, Vladimir Shikhman, Maxim I. Todorov
- Math. Meth. of OR
- 2009

We consider unconstrained finite dimensional multi-criteria optimization problems, where the objective functions are continuously differentiable. Motivated by previous work of Brosowski and da Silva (1994), we suggest a number of tests (TEST 1–4) to detect, whether a certain point is a locally (weakly) efficient solution for the underlying vector… (More)