On fixed points and convergence results of sequences generated by uniformly convergent and point‑wisely convergent sequences of operators in Menger probabilistic metric spaces
De la Sen, Manuel
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In the framework of complete probabilistic Menger metric spaces, this paper investigates some relevant properties of convergence of sequences built through sequences of operators which are either uniformly convergent to a strict k-contractive operator, for some real constant k ∈ (0, 1), or which are strictly k-contractive and point-wisely convergent to a limit operator. Those properties are also reformulated for the case when either the sequence of operators or its limit are strict -contractions. The definitions of strict (k and ) contractions are given in the context of probabilistic metric spaces, namely in particular, for the considered probability density function. A numerical illustrative example is discussed.
Link to resourcehttp://doi.org/10.1186/s40064-016-2057-0
- Año 2016 
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