BANACH FIXED POINT THEOREM ON ORTHOGONAL CONE METRIC SPACES

Zeinab Eivazi Damirchi Darsi Olia, Madjid Eshaghi Gordji, Davood Ebrahimi Bagha

DOI Number
https://doi.org/10.22190/FUMI2005239E
First page
1239
Last page
1250

Abstract


In this paper, we introduce new concept of orthogonal cone metric spaces. We stablish new versions of fixed point theorems in incomplete orthogonal cone metric spaces. As an application, we show the existence and uniqueness of solution of the periodic boundry value problem.

Keywords

orthogonal set, fixed point, cone metric space, orthogonally complete metric space

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References


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DOI: https://doi.org/10.22190/FUMI2005239E

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