Fixed point results on \theta-metric spaces via simulation functions

In a recent article, Khojasteh et al. introduced a new class of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results on \theta-metric context and we discuss some fixed point results...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-06
Main Authors: Chanda, Ankush, Dey, Lakshmi Kanta
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In a recent article, Khojasteh et al. introduced a new class of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results on \theta-metric context and we discuss some fixed point results in connection with existing ones. Also, we originate the notion of modified Z-contractions and explore the existence and uniqueness of fixed points of such functions on the said spaces. Finally we include examples to instantiate our main results.
ISSN:2331-8422