Fixed points of α-Θ-Geraghty type and Θ-Geraghty graphic type contractions

Wudthichai Onsod; Poom Kumam; Yeol Je Cho

doi:10.4995/agt.2017.6694

Authors

Wudthichai Onsod King Mongkut’s University of Technology Thonburi
Poom Kumam King Mongkut's University of Technology Thonburi https://orcid.org/0000-0002-5463-4581
Yeol Je Cho Gyeongsang National University

DOI:

https://doi.org/10.4995/agt.2017.6694

Keywords:

α-Θ-Garaghty type contraction, Θ-Geraghty graphic type contractions, partial order, partial metric spaces, common fixed points

Abstract

In this paper, by using the concept of the α-Garaghty contraction, we introduce the new notion of the α-Θ-Garaghty type contraction and prove some fixed point results for this contraction in partial metric spaces. Also, we give some examples and applications to illustrate the main results.

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Author Biographies

Wudthichai Onsod, King Mongkut’s University of Technology Thonburi

KMUTTFixed Point Research Laboratory, Department of Mathematics

Poom Kumam, King Mongkut's University of Technology Thonburi

Department of Mathematics, Faculty of Science

Yeol Je Cho, Gyeongsang National University

Department of Mathematics Education and the RINS

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