On surjective second order non-linear Markov operators and associated nonlinear integral equations

• Main Authors: Mukhamedov, Farrukh, Khakimov, Otabek, Embong, Ahmad Fadillah
• Format: Article
• Language: English; English; English
• Published: Springer International Publishing 2018
• Subjects: Q Science (General)
• Online Access: http://irep.iium.edu.my/65239/1/65239_On%20surjective%20second%20order%20non-linear%20Markov%20operators_Publisher%27s%20website.pdf; http://irep.iium.edu.my/65239/14/65239%20On%20surjective%20second%20order%20non-linear%20SCOPUS.pdf; http://irep.iium.edu.my/65239/13/65239%20On%20surjective%20second%20order%20non-linear%20WOS.pdf; http://irep.iium.edu.my/65239/; https://link.springer.com/article/10.1007/s11117-018-0587-0

It was known that orthogonality preserving property and surjectivity of nonlinear Markov operators, acting on finite dimensional simpleces, are equivalent. It turns out that these notions are no longer equivalent when such kind of operators are considered over on infinite dimensional spaces. In the...