A new nonsmooth bundle-type approach for a class of functional equations in Hilbert spaces

DOI10.1155/2017/3941084zbMath1376.65150OpenAlexW2742615085MaRDI QIDQ1674075

Fang-Fang Guo, Miao Tian, Jie Shen, Jun-Nan Zhang

Publication date: 1 November 2017

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3941084

zbMATH Keywords

nonsmooth optimizationfunctional equationsiterative processbundle methodpiecewise linear convex approximate functions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical methods for functional equations (65Q20)

Cites Work

• A sample average approximation regularization method for a stochastic mathematical program with general vertical complementarity constraints
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• Coupling the auxiliary problem principle and epiconvergence theory to solve general variational inequalities
• On solvability of functional equations and system of functional equations arising in dynamic programming
• Existence theorems for solvability of a functional equation arising in dynamic programming
• Solutions to two functional equations arising in dynamic programming
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