Fixed point theory in generalized orthogonal metric space
محورهای موضوعی : Fixed point theoryM. Eshaghi Gordji 1 , H. Habibi 2
1 - Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2 - Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
کلید واژه: fixed point, Generalized metric space, Orthogonal set, Solution, Cauchy problem,
چکیده مقاله :
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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