Scalar characterizations of cone-continuous set-valued maps

DOI10.1080/00036811.2015.1109079zbMath1352.54011OpenAlexW2338727268WikidataQ58189418 ScholiaQ58189418MaRDI QIDQ2832365

Esmaile Khorram, S. Khoshkhabar-amiranloo

Publication date: 11 November 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1109079

zbMATH Keywords

continuityconvex coneset-valued mapscalarization functionreal vector space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15)

Related Items (9)

A new scalarization approach and applications in set optimization ⋮ Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps ⋮ Approximate weak minimal solutions of set-valued optimization problems ⋮ Scalarization of Levitin–Polyak well-posed set optimization problems ⋮ Characterizations of generalized Levitin-Polyak well-posed set optimization problems ⋮ Scalarization of multiobjective robust optimization problems ⋮ Stability of minimal solutions to parametric set optimization problems ⋮ On set containment characterizations for sets described by set-valued maps with applications ⋮ Scalarization and well-posedness for set optimization using coradiant sets

Cites Work

• Vectorization in set optimization
• Pointwise well-posedness in set optimization with cone proper sets
• New nonlinear scalarization functions and applications
• Four types of nonlinear scalarizations and some applications in set optimization
• On optimization problems with set-valued objective maps: existence and optimality
• Nonconvex separation theorems and some applications in vector optimization
• Scalarization of set-valued optimization problems and variational inequalities in topological vector spaces
• Nonconvex scalarization in set optimization with set-valued maps
• Pointwise well-posedness and scalarization in set optimization
• Well-posedness for set optimization problems
• Variational methods in partially ordered spaces
• On quantitative stability in optimization and optimal control
• Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization
• Convexity for set-valued maps
• Continuity of cone-convex functions
• Scalarization in set optimization with solid and nonsolid ordering cones
• Convergence of asymptotic directions
• Variational Analysis
• On cone convexity of set-valued maps

This page was built for publication: Scalar characterizations of cone-continuous set-valued maps