Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

Mitrofan M. Choban; Vasile Berinde

doi:10.4995/agt.2017.7067

Authors

Mitrofan M. Choban Tiraspol State University
Vasile Berinde Technical University of Cluj-Napoca, North University Center

DOI:

https://doi.org/10.4995/agt.2017.7067

Keywords:

distance space, partial order, symmetric space, quasi-metric space, H-distance, contraction condition, multiple fixed point

Abstract

We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This notion and the obtained results complement the corresponding ones from [M. Choban, V. Berinde, A general concept of multiple fixed point for mappings defined on spaces with a distance, Carpathian J. Math. 33 (2017), no. 3, 275--286] and also simplifies some concepts of multiple fixed point considered by various authors in the last decade or so.

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Author Biographies

Mitrofan M. Choban, Tiraspol State University

Department of Physics, Mathematics and Information Technologies

Vasile Berinde, Technical University of Cluj-Napoca, North University Center

Department of Mathematics and Computer Science

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