Near-coincidence point results in metric interval space and hyperspace via simulation functions
Abstract Recently, Wu (Mathematics 6(11):219, 2018; Mathematics 6(6):90, 2018) introduced the concept of a near-fixed point and established some results on near fixed points in a metric interval space and hyperspace. Motivated by these papers, we studied the near-coincidence point theorem in these s...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2020-06-01
|
Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-020-02734-6 |
_version_ | 1818327179032788992 |
---|---|
author | Misbah Ullah Muhammad Sarwar Hasib Khan Thabet Abdeljawad Aziz Khan |
author_facet | Misbah Ullah Muhammad Sarwar Hasib Khan Thabet Abdeljawad Aziz Khan |
author_sort | Misbah Ullah |
collection | DOAJ |
description | Abstract Recently, Wu (Mathematics 6(11):219, 2018; Mathematics 6(6):90, 2018) introduced the concept of a near-fixed point and established some results on near fixed points in a metric interval space and hyperspace. Motivated by these papers, we studied the near-coincidence point theorem in these spaces via a simulation function. To show the authenticity of the established results and definitions, we also provide some examples. |
first_indexed | 2024-12-13T12:12:09Z |
format | Article |
id | doaj.art-fa7aa92dc541475bb0a80ae54881c48e |
institution | Directory Open Access Journal |
issn | 1687-1847 |
language | English |
last_indexed | 2024-12-13T12:12:09Z |
publishDate | 2020-06-01 |
publisher | SpringerOpen |
record_format | Article |
series | Advances in Difference Equations |
spelling | doaj.art-fa7aa92dc541475bb0a80ae54881c48e2022-12-21T23:46:49ZengSpringerOpenAdvances in Difference Equations1687-18472020-06-012020111910.1186/s13662-020-02734-6Near-coincidence point results in metric interval space and hyperspace via simulation functionsMisbah Ullah0Muhammad Sarwar1Hasib Khan2Thabet Abdeljawad3Aziz Khan4Department of Mathematics, University of Malakand Dir LowerDepartment of Mathematics, University of Malakand Dir LowerDepartment of Mathematics, Shaheed Benazir Bhutto University SheringalDepartment of Mathematics and General Sciences, Prince Sultan UniversityDepartment of Mathematics and General Sciences, Prince Sultan UniversityAbstract Recently, Wu (Mathematics 6(11):219, 2018; Mathematics 6(6):90, 2018) introduced the concept of a near-fixed point and established some results on near fixed points in a metric interval space and hyperspace. Motivated by these papers, we studied the near-coincidence point theorem in these spaces via a simulation function. To show the authenticity of the established results and definitions, we also provide some examples.http://link.springer.com/article/10.1186/s13662-020-02734-6Near-fixed pointMetric interval spaceHyperspaceNull setSimulation functionCoincidence point |
spellingShingle | Misbah Ullah Muhammad Sarwar Hasib Khan Thabet Abdeljawad Aziz Khan Near-coincidence point results in metric interval space and hyperspace via simulation functions Advances in Difference Equations Near-fixed point Metric interval space Hyperspace Null set Simulation function Coincidence point |
title | Near-coincidence point results in metric interval space and hyperspace via simulation functions |
title_full | Near-coincidence point results in metric interval space and hyperspace via simulation functions |
title_fullStr | Near-coincidence point results in metric interval space and hyperspace via simulation functions |
title_full_unstemmed | Near-coincidence point results in metric interval space and hyperspace via simulation functions |
title_short | Near-coincidence point results in metric interval space and hyperspace via simulation functions |
title_sort | near coincidence point results in metric interval space and hyperspace via simulation functions |
topic | Near-fixed point Metric interval space Hyperspace Null set Simulation function Coincidence point |
url | http://link.springer.com/article/10.1186/s13662-020-02734-6 |
work_keys_str_mv | AT misbahullah nearcoincidencepointresultsinmetricintervalspaceandhyperspaceviasimulationfunctions AT muhammadsarwar nearcoincidencepointresultsinmetricintervalspaceandhyperspaceviasimulationfunctions AT hasibkhan nearcoincidencepointresultsinmetricintervalspaceandhyperspaceviasimulationfunctions AT thabetabdeljawad nearcoincidencepointresultsinmetricintervalspaceandhyperspaceviasimulationfunctions AT azizkhan nearcoincidencepointresultsinmetricintervalspaceandhyperspaceviasimulationfunctions |