Solution of Random Operator Equations and Inclusions

Research in probabilistic operator theory generally includes the solutions of random operator equations and random operator inclusion, random extension theorems, limit theorems, measure theoretic problems, spectral theory of random operators and semi groups of random operators and their properties. Various ideas associated with random fixed point theory are used to form a particularly elegant approach for the solution of nonlinear random systems. Now this theory has become full- fledged research area lying at the intersection of nonlinear analysis and probability theory. In this monograpgh those aspects of random solution of random operator equations and random operator inclusion, which fall within the scope of investigation of random fixed point are discussed.

Ismat Beg is a Professor at Lahore University of Management Sciences. He is teaching courses on Functional Analysis and Fuzzy Set Theory and its Applications to graduate and post- graduate students in mathematics, economics and computer science. Mujahid Abbas did his Ph.D. in 2005 with Ismat Beg.