Best approximation of κ-random operator inequalities in matrix MB-algebras

Abstract

Abstract We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ-random operator inequalities and calculate the maximum error of the estimate.

Keywords

• Stochastic matrix control function
• Hyers–Ulam stability
• Hausdorff–Pompeiu distance
• κ-random operator inequality
• MB-algebra