General properties of \((p,q)\)-convex functions and \((p,q)\)-monotone operators

zbMath0555.49007MaRDI QIDQ760653

Antonio Marino, Marco Degiovanni, Mario Tosques

Publication date: 1983

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

evolution equationssubdifferentials(p,q)-convex functions(p,q)-monotone operatorsLipschitz continuous perturbations of monotone operatorsnon-convex minimization in Hilbert spaceperturbations of convex functionspoints which are critical from belowproblems with non-convex constraints

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Derivatives of functions in infinite-dimensional spaces (46G05)

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