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

Authors : Nurcan BİLGİLİ GÜNGÖR, Mehmet SÜRMELİOĞLU

Pages : 83-93

Doi:10.33773/jum.636750

View : 18 | Download : 4

Publication Date : 2020-01-31

Article Type : Research Paper

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