## Scientific Publicactions

- Papers published in international refereed journals
- Monographs/Books
- Papers published in national refereed journals

### Papers Published in International refereed journals

**1.** "Radially Symmetric Solutions of a Class of Problems of
the Calculus of Variations without convexity assumptions", *Ann.
Inst. Henri Poincaré Analyse non Linéaire*, **9
**No 4 (1992), 465-478 (with A. Cellina).

**2.** "Existence Theorems for a Class of Non-convex Problems in the Calculus of Variations", *J. Optim. Theory Appl.*, **78**No 1 (1993), 31- 48.

**3.** "The Lack of Lower Semicontinuity and Non-existence of
Minimizers", *Nonlinear Analysis: TMA*, **23** No 1 (1994),
143-153.

**4.** "On Total Differential Inclusions", *Rendiconti del
Seminario Matematico della Università di Padova*, **92**
(1994), 9-16 (with A. Bressan).

**5.** "Multivariable Aumann Integral and Controlled Wave
Equations", *Journal of Mathematical Analysis and Applications*,
**189** (1995), 315-334 (with A. Bressan).

**6.** "On a notion of subdifferentiability for non-convex
functions", *Optimization: a journal of mathematical programming
and operations research*, **33** (1995), 1-8.

**7.** "On lower perturbations of a class of non-convex
integrals", *Numerical Functional Analysis and Optimization*, **16**
No 1 & 2 (1995), 111-125.

**8.** "Some Remarks about Relaxation Problems in the Calculus
of
Variations", *Proceedings of the Royal Society of Edinburgh Sect. A*,
**126** (1996), 665-675.

**9.**"On Radial Solutions to Non-convex Variational
Problems", *Houston Journal of Mathematics*, **22** No 1
(1996),
161-181.

**10.** "On minima of the difference of functions", *Journal
Optimization Theory and Applications*, **93** No 3 (1997),
525-531.

**11.** "Approximate minima via the Ekeland variational
principle", *Numerical Functional Analysis and Optimization*, **18**
No 7 & 8 (1997), 777-788.

**12.** "Simplified Global Optimality Conditions in Generalized
Conjugation Theory" (Chapter **14**) in *Generalized Convexity,
Generalized Monotonicity: Recent Results*, Jean-Pierre Crouzeix et
al. (eds.), Kluwer Academic Publishers, Boston, London, Dordrecht
(1998) 305-329 (with J.E. Martinez-Legaz).

**13.** "Non-convex variational problems related to a
hyperbolic
equation", *SIAM, J. on Control and Optimization*, **37** No
6 (1999), 1751-1766 (with S. Perrotta).

**14.** "Optimal solutions in an allocation process for a
continuum of traders", *J. of Global Optimization*, **16**
No 2 (2000), 153-165.

**15.** "Existence theorems for generalized noncoercive
equilibrium problems: the quasiconvex case", *SIAM, J. on
Optimization*, **11** No 3 (2000), 675-690.

**16.** "Simplified optimality conditions for minimizing a
difference of vector-valued functions", *J. of Optimization Theory
and Applications*, **108** No 3 (2001), 571-586 (with W.
Oettli).

**17.** "Optimality conditions in non-convex set-valued
optimization", *Mathematical Methods of Operations Research*, **53**
No 3 (2001), 403-417.

**18.** "A variational problem related to a continuous-time
allocation process for a continuum of traders", *J. of Mathematical
Analysis and Applications*, **261** (2001), 448-460 (with J.-P.
Raymond).

**19.** "Ideal, weakly efficient solutions for convex vector
optimization problems", *Math. Program., Ser. A,* **93 **No
2 (2002), 453-475.

**20.**"Generalized vector quasi-equilibrium problems with
applications", *J. of Mathamatical Analysis and Applications,* **277
**No 1 (2003), 246-256 (with Q. H. Ansari).

**21.** "Vector equilibrium problems under recession
analysis", *Journal
of Global Optimization,* **26 **No 2 (2003), 141-166 (with
Fernando Flores-Bazán).

**22.** "Radial epiderivative and recession functions in
non-convex vector optimization", *SIAM J. Optimization,* **14 **No
1 (2003), 284-305.

**23.**"Existence theory for finite dimensional pseudomonotone
equilibrium problems", *Acta Applicandae Mathematicae,* **77 **No
3 (2003), 249-297.

**24.** "Semi-strictly quasiconvex vector functions and
non-convex vector optimization", *Mathematical Methods of
Operations Research, * **59 **No 1 (2004), 129-145.

**25.** "The linear complementarity problem under
asymptotic analysis", *Mathematics of Operations
Research, ***30** (2005), 73-90.

**26.** "On the representetation of approximate
subdifferentials for a class of generalized convex functions",* Set-Valued
Analysis* , **13**
(2005), 151-166 (with D. Carrasco)*.*

**27.** "An iterative algorithm for random generalized
nonlinear mixed variational inclusion for random fuzzy mappings",*
Applied Mathematics and Conputation,* **167** No 2 (2005), pp.
1400-1411 (with R. Ahmad) *.
*

**28.** "Characterizing Q-matrices beyond L-matrices", J. of Optimization Theory and Applications **127** (2005), No 2,
447-457 (with R. López).

**29.** "Asymptotic analysis, existence and sensitivity results for a class of multivalued complementarity problems",
ESAIM, Control Optimization and Calculus of Variations, **12** No 2 (2006), 271-293 (with R. López)

**30.** "Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization", J. Optimization Theory and Applications, **130** No 2 (2006), 185-207 (with Cristián Vera).

**31.** "An optimal alternative theorem and applications to mathematical programming", J. of Global Optimization, **37** No 2 (2007), 229-243. (with Nicolas Hadjisavvas and Cristián Vera).

**32.** "Characterizing efficiency without linear structure: a unified approach", *J. of Global Optimization*, **41** No 1 (2008), 43-60 (with E. Hernández and V. Novo).

**33.** "Weak efficiency in multiobjective quasiconvex optimization on the real-line without derivatives", Optimization, 58 No 1 (2009), 77-99. (with Cristián Vera).

**34.** "Strict effciency in set-valued optimization", SIAM J. Control and Optimization, 48 No 2 (2009), 881-908 (with Bienvenido Jiménez).

**35.** "Unifying efficiency and weak efficiency in generalized quasiconvex vector minimization on the real-line", *International Journal of Optimiization: Theory, Methods and Applications*, **1** No 3 (2009), 247-265 (with Cristián Vera).

**36.** "Asymptotically bounded multifunctions and the MCP beyond copositivity", *Journal of Convex Analysis*, **17** No 1 (2010), 253-276.

**37.** "A Brezis-Browder principle on partially ordered spaces and related ordering theorems", *J. Math. Anal. Appl.*, **375** (2011), 245-260. (with César Gutiérrez and Vicente Novo).

**38.** "Non-negativity of information value in games, symmetry and invariance" in *Operations Research Proceedings*, Selected papers of the Annual International Conference of the German Operations Research Society (GOR), Bo hu, Karl Morasch, Stefan Picki and Markus Siegle (Eds.), Springer-Verlag, Berlin, Heidelberg (2011), 59-64 (with Sigifredo Laengle)

**39.** "A unified vector optimization problem: complete scalarizations and applications",
*Optimization* **60** N^{o} 12 (2011), 1399-1419. (with Elvira Hernández).

**40.** "Gordan-type alternative theorems and vector optimization" in *Recent Developments in Vector Optimization*, Q. H Ansari and J.-C. Yao (Editors)
, Springer-Verlag, Berlin, 2012, Vol. 1, 29-59. (with Fernando Flores-Bazán and Cristián Vera).

**41.** "A complete characterization of strong duality in nonconvex optimization with a single constraint",
*J. of Global Optimization* N^{o} 2 (2012), 185-201 (with Fernando Flores-Bazán and Cristián Vera).

**42.** "Inner and Outer estimates for the solution sets and their asymptotic cones in vector optmization", *Optimization Letters*. **6** N^{o} 7 (2012), 1233-1249 (with Felipe Lara)

**43.** "Maximal elements under reference-dependent preferences with applications to behavioral traps and games ", *J. of Optimization Theory and Applications*. **155 N ^{o}3 (2012), 883-901** (with Dinh The Luc and Antoine Soubeyran).

**44.** "Strong duality in cone constrained nonconvex optimization", *SIAM, J. Optimization* **23** N^{o} 1 (2013), 153-159 (with Giandomenico Mastroeni)

**45.** "Characterizing the efficient points without convexity and free-disposability", *Central European Journal of Operations Research*. **21** N^{o}2 (2013), 401-410. (with Sigifredo Laengle and Gino Loyola).

**46.** "Optimality conditions for a unified vector optimization problems with non-preordering relations", *J. of Global Optimization*. **56** N^{o}2 (2013), 299-315. (with Elvira Hernández).

**47.** "A geometric characterization of strong duality in nonconvex quadratic programming with linear and noncovex quadratic contraints", *Math. Program., Ser. A* **145** N^{o} 1-2 (2014), 263-290. (with Gabriel Cárcamo).

**48.** "Fritz John necessary optimality condition of the Alternative-type", *J. Optimization Theory and Applications*, **161** N^{o} 3 (2014), 807-818.

**49.** "On the convexity of the value function for a class of nonconvex variational problems: existence and optimality conditions". *SIAM Journal on Control and Optimization*, **56** N^{o} 2 (2014) 3673-3693. (with Abderrahim Jourani and Giandomenico Mastroeni).

**50.** "Characterizing efficiency on infinite-dimensional commodity spaces with ordering cones having possibly empty interior". *J. Optimization Theory and Applications* , **164** N^{o} 2 (2015), 455-478. (with Fernando Flores-Bazán and Sigifredo Laengle).

**51.** "Characterizing FJ and KKT conditions in nonconvex mathematical programming with applications". *SIAM Journal on Optimization*. **25** N^{o} 1 (2015), 647 - 676. (with Giandomenico Mastroeni).

**52.** "Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives", J. ofi Global Optimization, **63** N^{o} 1 (2015), 99 - 123. (with Fernando Flores-Bazan and Cristian Vera).

**53.** "Second order asymptotic analysis: basic theory", *J. of Convex Analysis*, **22** N^{o}4 (2015), 1173-1196. (with N. Hadjisavvas and Felipe Lara).

**54.** "First and second order asymptotic analysis with applications in quasiconvex optimization", J. Optimization Theory and Applications, **170** N^{o} 2 (2016), 372–393. (with N. Hadjisavvas, F. Lara and I. Montenegro).

**55.** "Characterizing the convexity of joint-range for a pair of inhomogeneous quadratic functions and strong duality", Minimax Theory and its Applications, 1 N^{o} 2 (2016), 257 - 290. (with Felipe Opazo).

**56.** "Computing the value of information in quadratic decision problems and its non-negative conditions", Optimization **66**, N^{o} 8 (2017) 1337 - 1358. (with Sigifredo Laengle).

**57.**"Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap", J. Global Optimization, **69** N^{o} 4 (2017) 823–845. (with W. Echegaray, Fernando Flores-Bazán, E. Ocaña).

**58.** "Strong duality and KKT conditions in nonconvex optimization with a single equality and geometric constraint", {Math. Program., Ser. B}. **168** N^{o} 1-2 (2018), 369 - 400 (with Gabriel Cárcamo).

**59.** "Proper or weak efficiency via saddle point conditions in cone-constrained nonconvex vector optimization", J. Optimization Theory and Applications, **181**, N^{o} 3 (2019), 787 - 816. (with G. Mastroeni)

**60.** "Zero-scale asymptotic functions and quasiconvex optimization", J. of Convex Analysis, **26** (2019), to appear. (with N. Hadjisavvas)

**61.** "The standard quadratic optimization problem and its extensions: strong duality, optimality, hidden convexity and S-lemma" (with G. Cárcamo and S. Caro). *Applied Mathematics and Optimization*. DOI 10.1007/s00245-018-9502-0 Published online: 23 May 2018