TWO POROSITY RESULTS IN MONOTONIC ANALYSIS

DOI10.1081/NFA-120014757zbMath1055.46013OpenAlexW2022984066MaRDI QIDQ4787846

Zaslavski, Alexander J., Alexander Rubinov

Publication date: 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120014757

zbMATH Keywords

increasing function\(\sigma\)-porous setordered normed spacestrictly normal setstrictly increasing function

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Ordered normed spaces (46B40)

Related Items (8)

Nondifferentiability of a cost function at a point of minimum in minimax problems ⋮ Porosity and diametrically maximal sets in \(C(K)\) ⋮ Closed convex sets and their best simultaneous approximation properties with applications ⋮ Downward Sets and Their Best Simultaneous Approximation Properties with Applications ⋮ I_m-Quasi Upward Sets, with Their Best Approximations ⋮ New results for best approximation on Banach lattices ⋮ Almost all normal sets are strictly normal ⋮ Best approximation by downward sets with applications

Cites Work

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• Most of the successive approximations do converge
• On a generalized best approximation problem
• Lyapunov sequences and a turnpike theorem without convexity
• Minimizing increasing star-shaped functions based on abstract convexity
• Universal singular sets for one-dimensional variational problems
• Generic power convergence of order-preserving mappings
• Existence of solutions of optimal control problems for a generic integrand without convexity assumptions
• Increasing convex-along-rays functions with applications to global optimization
• Fréchet differentiability of convex functions
• The Set of Divergent Descent Methods in a Banach Space is \boldmath$\sigma$\unboldmath-Porous
• Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions
• Dynamic properties of optimal solutions of variational problems
• Porosity of ill-posed problems
• Variational Principles and Well-Posedness in Optimization and Calculus of Variations
• Best approximation by normal and conormal sets
• Abstract convexity and global optimization
• Well-posedness and porosity in optimal control without convexity assumptions

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