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- W1495605676 abstract "Given a metric space (X,d) and, for each n=1,2,..., let T_{n}:X_{n}→X_{n} be a mapping with fixed point x_{n}, where {X_{n}} is a sequence of nonempty subsets of X. Assume that each mapping T_{n} is a ϕ-contraction with respect to a different metric d_{n}. In this paper conditions are obtained under which the convergence of the sequence {T_{n}} in some general sense to a limit mapping implies the convergence of the sequence of their fixed points {x_{n}}. This leads to a number of new stability results which generalize certain well-known results." @default.
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- W1495605676 date "2013-03-18" @default.
- W1495605676 modified "2023-09-23" @default.
- W1495605676 title "Sequences of ϕ-contractions and convergence of fixed points" @default.
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