Abstract
The goal of this paper is to develop a framework that would allow one to solve the problems of optimal recovery of the monotone operators that act on a possibly most extensive class of monotone functions. The results of this work allow us to include the operators that act on the spaces of multi- and fuzzy- valued functions, as well as on the spaces of functions with values in partially ordered normed spaces. As an application of the obtained results, we solve the problem of optimal recovery of the solution for the Volterra and Fredholm integral equations for function with values in partially ordered L-spaces, given information about the values of the known function in a finite number of points.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
