Lectures on maximal monotone operators

Abstract

This is a 30 page set of lecture notes, in Plain TeX, which were prepared for and presented as a series of lectures (10 1/2 hours over two weeks) at the 2nd Summer School on Banach Spaces, Related Areas and Applications in Prague and Paseky, Czech Republic, during August, 1993. They consist of a largely self-contained exposition of both classical and recent basic facts about maximal monotone operators on Banach spaces, motivated in part by the goal of highlighting several fundamental properties of such operators which remain open questions in nonreflexive Banach spaces.

Cited by in corpus (11)

• New results on q-positivity
• Regular Maximal Monotone Multifunctions and Enlargements
• The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
• Constant Step Stochastic Approximations Involving Differential Inclusions: Stability, Long-Run Convergence and Applications
• On the Regularity of Maximal Monotone Operators and Related Results
• Notes on a PDE System for Biological Network Formation
• A Convergence Result for Asynchronous Algorithms and Applications
• Construction of pathological maximally monotone operators on non-reflexive Banach spaces
• Spectral and topological methods in the study of solvability of semilinear equations in Hilbert spaces
• Full Stability for Variational Nash Equilibriums of Parametric Optimal Control Problems of PDEs
• On extension results for n-cyclically monotone operators in reflexive Banach spaces