Robust analysis and global minimization of a class of discontinuous functions. I

DOI10.1007/BF02019147zbMath0718.49025OpenAlexW4248640130MaRDI QIDQ2639334

Quan Zheng

Publication date: 1990

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02019147

zbMATH Keywords

discontinuitiesglobal minimizationdiscontinuous functionsrobust functionsrobust sets

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Continuity and differentiation questions (26B05)

Related Items (17)

Integral global optimization method for solution of nonlinear complementarity problems ⋮ Integral global minimization: Algorithms, implementations and numerical tests ⋮ Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems ⋮ 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 ⋮ Finite dimensional approximation to solutions of minimization problems in functional spaces ⋮ Global optimization of bounded factorable functions with discontinuities ⋮ Global minimization of constrained problems with discontinuous penalty functions ⋮ Global optimum shape design ⋮ Robust analysis and global minimization of a class of discontinuous functions. II ⋮ Discontinuous Robust Mappings are Approximatable ⋮ Integral global minimization of constrained problems with discontinuous penalty functions ⋮ Discontinuity and measurability of robust functions in the integral global minimization ⋮ 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

• Unnamed Item
• Integral global optimization method for differential games with application to pursuit-evasion games
• Minimization of a multi-extremum function with a discontinuity
• Discontinuous Optimization by Smoothing
• Convex Analysis

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