Abstract
© 2015, De la Sen and Ibeas. This paper studies the convergence properties of an iterative process which involves sequences of convergent self-mappings in probabilistic Menger spaces which are used to generate the sequences of interest. The convergent self-mappings under consideration satisfy conditions of either uniform or point-wise convergence, in a probabilistic sense, to a self-mapping on the same abstract space of the considered probabilistic metric space. Furthermore, the self-mappings of the considered sequence satisfy a probabilistic ϕ-contractive condition which is based on the use of a control ϕ-function. Some illustrative examples are also discussed.
Original language | English |
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Article number | 243 |
Journal | Journal of Inequalities and Applications |
Volume | 2015 |
Issue number | 1 |
DOIs | |
Publication status | Published - 6 Dec 2015 |