Fixed point theory in generalized orthogonal metric space

Subject Areas : Fixed point theory

M.  Eshaghi Gordji ¹ (Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran)
H.  Habibi ² (Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran)

Received: 2017-08-06 Accepted : 2017-10-02 Published : 2017-09-01

Keywords: fixed point, Generalized metric space, Orthogonal set, Solution, Cauchy problem,

Abstract :

In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.

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