AN EXTENSION OF RATIONAL CONTRACTIVE CONDITION IN PARTIALLY ORDERED RECTANGULAR METRIC SPACES

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Kir M., Akturk M. A., Dutta H., Yolacan E.

MISKOLC MATHEMATICAL NOTES, vol.18, no.2, pp.873-888, 2017 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 18 Issue: 2
• Publication Date: 2017
• Doi Number: 10.18514/mmn.2017.2120
• Journal Name: MISKOLC MATHEMATICAL NOTES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.873-888
• Istanbul University Affiliated: Yes

Abstract

In this paper, we discuss the concept of partially ordered rectangular metric spaces using the notation (X, <=,d). Also, we give a generalized contractive condition in the context of partially ordered rectangular metric space for all comparable pair of X. Our results extend and generalize the well-known results of [13], [1], [14] and [11].