Chugh, Renu; Narwal, Satish; Aggarwal, Madhu Random fixed point results for Suzuki type random operators and applications. (English) Zbl 1296.60176 Int. J. Pure Appl. Math. 91, No. 2, 179-190 (2014). Summary: In aim of this paper is to prove the random version of Suzuki fixed point theorem in a separable metric space. Our main result generalizes the results of A. T. Bharucha-Reid [Bull. Am. Math. Soc. 82, 641–657 (1976; Zbl 0339.60061)] and T. Suzuki [Proc. Am. Math. Soc. 136, No. 5, 1861–1869 (2008; Zbl 1145.54026)]. Moreover, we show that these maps satisfy property P. Application to a certain class of random functional equations arising in dynamical programming is also obtained. MSC: 60H25 Random operators and equations (aspects of stochastic analysis) 54H25 Fixed-point and coincidence theorems (topological aspects) 41A50 Best approximation, Chebyshev systems 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) Keywords:metric space; random fixed point; random operator; measurable mappings; property P; random functional equation Citations:Zbl 0339.60061; Zbl 1145.54026 PDFBibTeX XMLCite \textit{R. Chugh} et al., Int. J. Pure Appl. Math. 91, No. 2, 179--190 (2014; Zbl 1296.60176) Full Text: DOI Link