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

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

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

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  • University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd, Serbia
  • E-mail address: kadelbur@matf.bg.ac.rs
  • University of Belgrade, Faculty of Mechanical Engineering, Kraljice Marije 16, 11120 Beograd, Serbia
  • E-mail address: radens@beotel.net