Rus, Ioan A. The theory of a metrical fixed point theorem: theoretical and applicative relevances. (English) Zbl 1172.54030 Fixed Point Theory 9, No. 2, 541-559 (2008). Author’s abstract: In this paper, we present some examples of a theory of a metrical fixed point theorem. These theories are in connection with: Picard operators and weakly Picard operators, Bessaga and Janos operators, data dependence of the fixed points, sequences of operators and fixed points, operatorial inequalities, comparison principle, fibre generalized contractions, well-posedness of the fixed point problem, limit shadowing property, applications. Reviewer: Billy E. Rhoades (Bloomington) Cited in 6 ReviewsCited in 41 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems 39A12 Discrete version of topics in analysis Keywords:generalized metric spaces; generalized contractions; infinite matrices; Picard operators; Bessaga operators; Janos operators; data dependence; operatorial inequalities; comparison principle; fiber generalized contractions; topological isomorphism; well-posedness of fixed point problem; limit shadowing property PDFBibTeX XMLCite \textit{I. A. Rus}, Fixed Point Theory 9, No. 2, 541--559 (2008; Zbl 1172.54030)