Discussion on relation-theoretic for JS-quasi-contractions of uni/milti-dimensional mappings with transitivity

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2020-03-0034

Keywords:

Transitive relation, Fixed point of N-order

Abstract

We introduce the notion of a JSR quasi-contraction mapping, where R is a binary relation on its domain. Also, we prove some fixed point results for such contractions in complete metric spaces endowed with a transitive relation. An example is given to substantiate our obtained theorems. In addition, we introduce a JSRN -quasicontraction and also establish fixed point of N-order theorems for such contractions.

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Author Biographies

  • Kanokwan Sawangsup, Thammasat University.

    Dept. of Mathematics and Statistics, Faculty of Science and Technology.

  • Wutiphol Sintunavarat, Thammasat University.

    Dept. of Mathematics and Statistics, Faculty of Science and Technology.

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Published

2020-06-03

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How to Cite

[1]
“Discussion on relation-theoretic for JS-quasi-contractions of uni/milti-dimensional mappings with transitivity”, Proyecciones (Antofagasta, On line), vol. 39, no. 3, pp. 559–580, Jun. 2020, doi: 10.22199/issn.0717-6279-2020-03-0034.