Open Access Research

Common fixed point theorems for weakly increasing mappings on ordered orbitally complete metric spaces

Hui-Sheng Ding1*, Zoran Kadelburg2 and Hemant K Nashine3

Author Affiliations

1 College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People's Republic of China

2 Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia

3 Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur-492101, Chhattisgarh, India

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Fixed Point Theory and Applications 2012, 2012:85 doi:10.1186/1687-1812-2012-85

Published: 19 May 2012

Abstract

In this article, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps on ordered orbitally complete metric spaces. We furnish suitable examples to demonstrate the validity of the hypotheses of our results.

Mathematics Subject Classification (2010): 47H10; 54H25.

Keywords:
Partially ordered set; asymptotically regular map; orbitally complete metric space; orbital continuity; weakly increasing maps