Applications of convex analysis and comparison functionals to extremum principles

DOI10.1002/mma.1670060122zbMath0546.49011OpenAlexW2048158552MaRDI QIDQ3336264

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Publication date: 1984

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670060122

zbMATH Keywords

approximating functionalsconvex, concave or saddle surfaces

Mathematics Subject Classification ID

Convex programming (90C25) Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30) Duality theory (optimization) (49N15) Fredholm integral equations (45B05) Methods of reduced gradient type (90C52)

Related Items (1)

Extremum principles for a general class of saddle functionals

Cites Work

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• Some Applications of Perturbation Methods to Saddle Point Bounds
• Extended dual extremum principles for nonlinear problems
• On the construction of minimizing sequences for convex functionals with upper and lower bounding functionals
• On dual approximation principles and optimization in continuum mechanics
• Bivariational bounds
• New Extremum Principles for Linear Problems
• Some complementary bivariational principles for linear integral equations of Fredholm type
• General estimates for linear functional in nonlinear problems
• Approximate Operators and Dual Extremum Principles for Linear Problems
• Pointwise Bivariational Bounds on Solutions of Fredholm Integral Equations
• On Dual Extremum Principles in Applied Mathematics

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