Demirel, İhsan2017-09-112017-09-112017-092017-092017-09-08http://hdl.handle.net/11693/33586Cataloged from PDF version of article.Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2017.Includes bibliographical references (leaves 31-32).The Monge mass transportation problem was stated by French Mathematician, G. Monge [6]. After that Soviet Mathematician Leonid Kantorovich [4] published a relaxed version of the problem, namely the Monge-Kantorovich mass transportation problem. This paper is concerned with the de nitions and relations of problems and the existence, the uniqueness and the characterization of solutions to problems for some speci c cases. We will consider three type of function, namely the quadratic, strictly convex and strictly concave cost functions. The Kantorovich Duality and cyclical monotonicity will be main tools to prove results.vii, 38 leaves ; 29 cm.Englishinfo:eu-repo/semantics/openAccessThe Monge-Kantorovich Mass TransportationCyclical MonotonicityThe Kantorovich DualityThesisB156175