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Extension of the Method of Quasilinearization for Stochastic Initial Value Problems
In this paper we extend the method of quasilinearization to stochastic initial value problems. Further we prove that the iterates converge uniformly almost surely to the unique solution and the convergence is quadratic.
Random Fixed Point Theorems for Nonexpansive and Contractive-Type Random Operators on Banach Spaces
The existence of random fixed points for nonexpansive and pseudocontractive random multivalued operators defined on unbounded subsets of a Banach space is proved. A random coincidence point theorem for a pair of compatible ...