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Chapter and Conference Paper
Optimality Conditions for Quasi Proper Solutions in Multiobjective Optimization with a Polyhedral Cone
In this work, a multiobjective optimization problem is considered, where the feasible set is given by a cone-constraint and the ordering cone is assumed to be polyhedral. Then, optimality conditions to charact...
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Article
Open AccessNew Notions of Proper Efficiency in Set Optimization with the Set Criterion
In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we co...
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Article
A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization
In this paper, we introduce some new notions of quasi efficiency and quasi proper efficiency for multiobjective optimization problems that reduce to the most important concepts of approximate and quasi efficie...
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Article
Six set scalarizations based on the oriented distance: continuity, convexity and application to convex set optimization
In the setting of normed spaces ordered by a convex cone not necessarily solid, we use six set scalarization functions, which are extensions of the oriented distance of Hiriart-Urruty, and we discuss convexity...
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Article
Optimality conditions for approximate proper solutions in multiobjective optimization with polyhedral cones
In this paper, we provide optimality conditions for approximate proper solutions of a multiobjective optimization problem, whose feasible set is given by a cone constraint and the ordering cone is polyhedral. ...
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Article
Open AccessBevacizumab dose adjustment to improve clinical outcomes of glioblastoma
Glioblastoma (GBM) is one of the most aggressive and vascularized brain tumors in adults, with a median survival of 20.9 months. In newly diagnosed and recurrent GBM, bevacizumab demonstrated an increase in pr...
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Article
Lagrange Multipliers in Convex Set Optimization with the Set and Vector Criteria
In the setting of normed spaces ordered by a convex cone, we define a set-valued optimization problem where the feasible set is given by a cone-constraint and we derive Lagrange optimality conditions for weakl...
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Article
Open AccessPatient self-management of oral anticoagulation with vitamin K antagonists in everyday practice: clinical outcomes in a single centre cohort after long-term follow-up
Patient self-management (PSM) of vitamin K antagonists (VKA) seems a very promising model of care for oral anticoagulation in terms of efficacy and safety. In comparison with other management models of VKA the...
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Article
Characterization of set relations through extensions of the oriented distance
In the framework of normed spaces ordered by a convex cone not necessarily solid, we consider two set scalarization functions of type sup-inf, which are extensions of the oriented distance of Hiriart-Urruty. W...
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Article
Approximate solutions of vector optimization problems via improvement sets in real linear spaces
We deal with a constrained vector optimization problem between real linear spaces without assuming any topology and by considering an ordering defined through an improvement set E. We study E-optimal and weak E-o...
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Article
Vector critical points and efficiency in vector optimization with Lipschitz functions
In this work, we establish some relations between several notions of vector critical points and efficient, weak efficient and ideal efficient solutions of a vector optimization problem with a locally Lipschitz...
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Article
Optimality Conditions for Quasi-Solutions of Vector Optimization Problems
In this paper, we deal with quasi-solutions of constrained vector optimization problems. These solutions are a kind of approximate minimal solutions and they are motivated by the Ekeland variational principle....
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Article
Scalarization in set optimization with solid and nonsolid ordering cones
This paper focuses on characterizations via scalarization of several kinds of minimal solutions of set-valued optimization problems, where the objective values are compared through relations between sets (set ...
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Article
Seasonal and spatial variation of organic tracers for biomass burning in PM1 aerosols from highly insolated urban areas
PM1 aerosol characterization on organic tracers for biomass burning (levoglucosan and its isomers and dehydroabietic acid) was conducted within the AERTRANS project. PM1 filters (N = 90) were sampled from 2010 to...
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Article
Histological Alterations on the Structure of the Excretory Renal System in Tench (Tinca tinca) After Exposure to 17-Alpha-Ethynylestradiol
This study describes the effects of 17-alpha-ethynylestradiol (EE2) on the structure of the excretory system of the kidney in tench. Adult male tench were exposed to sub-lethal doses of EE2 (50, 100 and 500 μg/kg...
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Article
Equivalent ε-efficiency notions in vector optimization
In this work we show some relations between ε-efficiency sets obtained through well-known approximate solution concepts of vector optimization problems. In particular, we prove that various of these concepts are ...
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Article
A generic approach to approximate efficiency and applications to vector optimization with set-valued maps
In this paper we focus on approximate minimal points of a set in Hausdorff locally convex spaces. Our aim is to develop a general framework from which it is possible to deduce important properties of these poi...
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Article
DUSP1/MKP1 promotes angiogenesis, invasion and metastasis in non-small-cell lung cancer
DUSP1/MKP1 is a dual-specific phosphatase that regulates MAPKs activity, with an increasingly recognized role in tumor biology. To understand more about the involvement of DUSP1 in lung cancer, we performed ge...
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Chapter
Pyroelectricity in Polycrystalline Ferroelectrics
The first reference to pyroelectric effect is by Theophrastus in 314 BC, who noted that tourmaline becomes charged because it attracted bits of straw and ash when heated. Tourmaline’s properties were reintrodu...
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Article
An overview of second order tangent sets and their application to vector optimization
We take into consideration the main definitions and properties of second order local approximations of sets (or second order tangent sets or second order variational sets). We shall be mainly concerned with th...
