Renu Chugh, Satish Narwal, Madhu Aggarwal
Department of Mathematics
Maharshi Dayanand University
Rohtak, 124 001, Haryana, INDIA
Department of Mathematics
Sat Jinda Kalyana College
Kalanaur, Rohtak, 124 113, Haryana, INDIA
Department of Mathematics, Vaish College
Rohtak, 124 001, Haryana, INDIA

Abstract. 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 Bharuchareid [1] and Suzuki [22]. Moreover, we show that these maps satisfy property P. Application to certain class of random functional equations arising in dynamical programming is also obtained.

Received: August 26, 2013

AMS Subject Classification: 41A50, 41A65, 47H10, 60H25

Key Words and Phrases: metric space, random fixed point, random operator, measurable mappings, property P, random functional equation

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