Matches in SemOpenAlex for { <https://semopenalex.org/work/W1557931734> ?p ?o ?g. }
- W1557931734 abstract "This thesis consists of two parts.In Part I, projection algorithms for solving convex feasibility problems in Hilbert space are studied. Powerful techniques from Convex Analysis are employed within a very general framework that covers and extends many well-known results. Ostensibly different looking conditions sufficient for linear convergence are shown to be special instances of regularity--a concept new in this context. Numerous examples, including subgradient algorithms, are presented.Several notions of monotonicity of operators on Banach spaces are analyzed in Part II. Utilizing Convex and Functional Analysis, it is shown that for a bounded linear positive semi-definite operator, all these monotonicities coincide with the monotonicity of the conjugate operator. Moreover, monotonicity of the conjugate operator is automatic in many classical Banach spaces but not in spaces containing a complemented copy of the space of absolutely convergent sequences." @default.
- W1557931734 created "2016-06-24" @default.
- W1557931734 creator A5081924048 @default.
- W1557931734 creator A5088720034 @default.
- W1557931734 date "1996-01-01" @default.
- W1557931734 modified "2023-09-26" @default.
- W1557931734 title "Projection algorithms and monotone operators" @default.
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