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The theory of a metrical fixed point theorem: theoretical and applicative relevances. (English) Zbl 1172.54030

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.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
39A12 Discrete version of topics in analysis
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