Fixed point theory in generalized orthogonal metric space

Journal of Linear and Topological Algebra

مقاله 7، دوره 06، شماره 03، آذر 2017، صفحه 251-260   

نوع مقاله: Research Paper

نویسندگان

M. Eshaghi Gordji؛ H. Habibi^*

Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

چکیده

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.

کلیدواژه‌ها

fixed point؛ Orthogonal set؛ Solution؛ Generalized metric space؛ Cauchy problem

مراجع

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