Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

Liu Xiao-lan; Zhou Mi; Mishra Lakshmi Narayan; Mishra Vishnu Narayan; Damjanović Boško

doi:10.1515/math-2018-0120

Open Mathematics (Dec 2018)

Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

Liu Xiao-lan,
Zhou Mi,
Mishra Lakshmi Narayan,
Mishra Vishnu Narayan,
Damjanović Boško

Affiliations

Liu Xiao-lan: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, China
Zhou Mi: School of Science and Technology, University of Sanya, Sanya, Hainan 572000, China
Mishra Lakshmi Narayan: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore, 632 014, Tamil Nadu, India
Mishra Vishnu Narayan: Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
Damjanović Boško: Faculty of Agriculture, University of Belgrade, Belgrade, Serbia

DOI: https://doi.org/10.1515/math-2018-0120
Journal volume & issue: Vol. 16, no. 1
pp. 1423 – 1434

Abstract

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In this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs. Our results improve, extend, complement and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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