Vector asymptotic functions and their application to multiobjective optimization problems
From MaRDI portal
Publication:6550976
DOI10.1137/23m158098xzbMATH Open1548.90435MaRDI QIDQ6550976
Cristián Vera, Fabián Flores-Bazán, Rubén López
Publication date: 5 June 2024
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
multi-objective optimizationrecession coneasymptotic coneexistence resultasymptotic functioncoercivity property\(q\)-asymptotic function
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Ordered normed spaces (46B40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- First- and second-order asymptotic analysis with applications in quasiconvex optimization
- Existence and boundedness of solutions in infinite-dimensional vector optimization problems
- A note on the existence of nonsmooth nonconvex optimization problems
- Maximizing and minimizing quasiconvex functions: related properties, existence and optimality conditions via radial epiderivatives
- Complementarity and variational inequalities in electronics
- Characterization of the nonemptiness and compactness of solution sets in convex and nonconvex vector optimization
- Generalized convexity and optimization. Theory and applications
- On the set of weakly efficient minimizers for convex multiobjective programming
- General existence theorems for unilateral problems in continuum mechanics
- Semi-continuous mappings in general topology
- Ideal, weakly efficient solutions for vector optimization problems
- Variational methods in partially ordered spaces
- Bedingt konvergente Reihen und konvexe Systeme. (Teil I.).
- Approximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problems
- A quasiconvex asymptotic function with applications in optimization
- Existence and connectedness of solutions for generalized vector quasi-equilibrium problems
- Quadratic programming and affine variational inequalities. A qualitative study.
- Minimax type theorems for n-valued functions
- Semistrictly quasiconvex mappings and non-convex vector optimization
- On the lower semicontinuity of the value function and existence of solutions in quasiconvex optimization
- On the existence of weak efficient solutions of nonconvex vector optimization problems
- A general asymptotic function with applications in nonconvex optimization
- A further study on asymptotic functions via variational analysis
- Variational convergence for vector-valued functions and its applications to convex multiobjective optimization
- Formulas for asymptotic functions via conjugates, directional derivatives and subdifferentials
- Recession cones and the domination property in vector optimization
- Asymptotic analysis of scalarization functions and applications
- Existence theorems for generalized noncoercive equilibrium problems: The quasi-convex case
- Variational Analysis in Sobolev andBVSpaces
- Variational Analysis
- Radial Epiderivatives and Asymptotic Functions in Nonconvex Vector Optimization
- Recession function and its applications in optimization
- Quasiconvex optimization problems and asymptotic analysis in Banach spaces
- Epi and coepi-analysis of one class of vector-valued mappings
- Lectures on Convex Sets
- Multicriteria Optimization
- Convex Analysis
This page was built for publication: Vector asymptotic functions and their application to multiobjective optimization problems