Apartial answer to a known conjecture

In this work, we introduce a new generalized class ofcontractive multi valued mappings which is a generalizationof many known results such as Banach(1922). Nadlcr (1969). C’iric( 1974). Reich (1983).Mizoguclii and Takahashi (1989). Daffer-Kaneko(1995), Rhoades (21)01), Rouhani and Moradi (2010).Amini-Harandi (2010) and Moradi and Khojasteh(2011). Finally, a partial answer to the con-jecturewhich is introduced by Rouhani and Moradi is given

Keywords:

Multi-valued mapping , Hausdorff metric , Mizoguclii-Takahashi’s type , MT-function , GMTcontraction