In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied. These functions, called qprobabilistic quasi-pseudo-metricsq and qfuzzy quasi-pseudo-metricsq, are generalisations of classical quasi-pseudo metrics. For the sake of completeness as well as for convenience and easy comparison, most of the introductory paragraphs are mainly devoted to fundamental notions and results from the classical -- deterministic or symmetric -- theory. S. S. Chang, Y. J. Cho, S. M. Kang and J. X. Fan, Common fixed point theorems for multi- valued mappings in Menger ...  S. S. Chang, Y. J. Cho and S. M. Kang, Probabilistic Metric Spaces and Nonlinear Operator Theory, Sichuan University Press, 1995.  S. S. ... Chang, Y. J. Cho, X. Wu and B. S. Lee, Minimax problems and variational inequalities in probabilistic metric spaces, Nonlinear Anal.
|Title||:||On Nonsymmetric Topological and Probabilistic Structures|
|Author||:||Yeol Je Cho, Mariusz Grabiec, Viorel Radu|
|Publisher||:||Nova Publishers - 2006-01-01|