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Random fixed point theorems for Caristi type random operators. (English) Zbl 1148.47044

This paper establishes the existence of random fixed points of random operators satisfying certain contractive conditions. As an application, the authors obtain a random fixed point theorem for Caristi type random operators. The paper improves and generalizes the several well-known results in the literature (the most recent of which is [G.Isac and J.–L.Li, Comput.Math.Appl, 47, No.10–11, 1745–1751 (2004; Zbl 1078.47049)]).

MSC:

47H40 Random nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
60H25 Random operators and equations (aspects of stochastic analysis)

Citations:

Zbl 1078.47049
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Full Text: DOI

References:

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