Random Coincidence Point Theorem in Fréchet Spaces with Applications
نویسندگان
چکیده
We proved a random coincidence point theorem for a pair of commuting random operators in the setup of Fréchet spaces. As applications, we obtained random fixed point and best approximation results for ∗-nonexpansive multivalued maps. Our results are generalizations or stochastic versions of the corresponding results of Shahzad and Latif [Shahzad, N.; Latif, A. A random coincidence point theorem. J. Math. Anal. Appl. 2000, 245, 633–638], Khan and Hussain [Khan, A.R.; Hussain, N. Best approximation and fixed point results. Indian J. Pure Appl. Math. 2000, 31 (8), 983–987], Tan and Yaun [Tan, K.K.; Yaun, X.Z. Random fixed point theorems and approximation. Stoch. Anal. Appl. 1997, 15 (1), 103–123] and ∗Correspondence: Abdul Rahim Khan, Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia; E-mail: [email protected]. 155 DOI: 10.1081/SAP-120028028 0736-2994 (Print); 1532-9356 (Online) Copyright © 2004 by Marcel Dekker, Inc. www.dekker.com
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