Random Operators and Stochastic Equations · 2010 · 12 citations · 0 references
Natural SciencesMathematicsDifferential EquationsProbability TheoryStochastic ProcessesFixed Point TheoryFixed PointsLimit TheoremsProbability DistributionsRandom VariablesStochastic Differential EquationsCoincidence Point TheoryExistence Of Fixed PointsFunctions Of Random VariablesRandom Differential EquationsRandom Fixed PointsRandom OperatorsUniqueness Theorems
Abstract In this paper, some theorems on the equivalence between the solvability of a random operator equation and the solvability of a deterministic operator equation are presented. As applications and illustrations, some results on random fixed points and random coincidence points in the literature are obtained or extended.