Random fixed points for ∗-nonexpansive random operators. (2001)

• Record Type: Journal Article
• Authors: Khan, Abdul Rahim; Hussain, Nawab
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 14:Number 4(2001)
• Page Start: 341
• Page End: 349
• Publication Date: 2001
• Subjects: random fixed point -- ∗-nonexpansive random map -- Banach space -- Fréchet space -- weakly inward operator -- Leray-Schauder condition; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953301000302
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The notion of a ∗ -nonexpansive multivalued map is different from that of a continuous map. In this paper we prove some fixed point theorems for ∗ -nonexpansive multivalued random operators in the setup of Banach spaces and Fréchet spaces. Our work generalizes, refines and improves the earlier results of a number of authors.