Multi-valued nonlinear contractions in orthogonal metric spaces

Orthogonal metric spaces has been initiated recently by Eshaghi and et. [M. Eshaghi, M. Ramezani, M.D.L. Sen, Y.J. Cho, On orthogonal sets and Banach’s fixed point theorem, accepted in Fixed point theory]. In this present paper, the concept of contraction for set-valued maps in orthogonal metric space is introduced. Our results are real generalization of Nadler , Mizoguchi- .Takahashi and Ciric