Fixed point theory in generalized orthogonal metric space
الموضوعات :
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)
الکلمات المفتاحية: fixed point, Generalized metric space, Orthogonal set, Solution, Cauchy problem,
ملخص المقالة :
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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