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.

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

How to Cite

[1]
K. Sawangsup and W. Sintunavarat, “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.

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Section

Artículos