SOME FIXED POINT THEOREMS FOR CONTRACTIVE MAPPINGS ON ORDERED ORTHOGONAL CONE METRIC SPACES

Year 2020, Volume: 3 Issue: 1, 83 - 93, 31.01.2020

Nurcan Bilgili Güngör , Mehmet Sürmelioğlu

https://doi.org/10.33773/jum.636750

Abstract

Very recently, orthogonal cone metric spaces, orthogonal completeness and orthogonal continuity are described in \cite{BG2019MS}. Also some fixed point theorems and their conclusions are proved on orthogonal cone metric spaces in there. In this paper, some fixed point theorems for contractive mappings are presented on ordered orthogonal cone metric spaces. Also an illustrative example is given.

Keywords

contractive mapping, fixed point, cone metric space, orthogonal cone metric space, ordered metric space

Supporting Institution

Amasya University Research Fund Project

Project Number

FMB-BAP 19-0396

Thanks

This research article was supported by Amasya University Research Fund Project (FMB-BAP 19-0396).

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