Discontinuous Robust Mappings are Approximatable

DOI10.2307/2155069zbMath0860.90129OpenAlexW4231017801MaRDI QIDQ4875818

Shuzhong Shi, Deming Zhuang, Quan Zheng

Publication date: 24 April 1996

Full work available at URL: https://doi.org/10.2307/2155069

zbMATH Keywords

Baire spaceintegral global optimizationrobustness of sets

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

A conceptual method for solving generalized semi-infinite programming problems via global optimization by exact discontinuous penalization ⋮ Finite-dimensional approximation to global minimizers in functional spaces with R-convergence ⋮ Optimality conditions and algorithms for integral global minimization ⋮ Existence and optimality of accessible and approximatable minimizers of quasi upper robust functions ⋮ Global optimum shape design ⋮ Upper robust mappings and vector minimization: An integral approach ⋮ Optimality condition and algorithm with deviation integral for global optimization ⋮ Discontinuous penalty approach with deviation integral for global constrained minimization

Cites Work

• Robust analysis and global minimization of a class of discontinuous functions. II
• Integral global optimization. Theory, implementation and applications
• Set-valued robust mappings and approximable mappings
• Discontinuity and measurability of robust functions in the integral global minimization
• Global minimization of constrained problems with discontinuous penalty functions
• Robust analysis and global minimization of a class of discontinuous functions. I
• Discontinuous Optimization by Smoothing
• Robust analysis and global optimization
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