A NOTE ON TRIPLED FIXED POINTS AND FIXED POINTS OF 3-ORDER IN PARTIALLY ORDERED METRIC SPACES

Year 2013, Volume: 1 Issue: 2, 230 - 237, 01.12.2013

Zoran Kadelburg Stojanradenovi´c

Abstract

In this paper, reducing tripled fixed point and fixed point of3-order results in ordered metric spaces to the respective results for mappings with one variable, some recent results established by Karapinar andSadarangani [E. Karapinar, K. Sadarangani, Triple fixed point theorems forweak (ψ − φ)-contractions, J. Comput. Anal. Appl., 15, 5 (2013), 844–851], aswell as Abbas and Berzig [M. Abbas, M. Berzig, Global attractive results oncomplete ordered metric spaces for third order difference equations, Intern. J.Anal. 2013, Art. ID 486357] are generalized and improved, with much shorterproofs

Keywords

Tripled fixed point , fixed point of 3-order , partially ordered metricspace

References

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• University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia
• E-mail address: [e-mail]
• University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Beograd, Serbia
• E-mail address: [e-mail]