Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions
In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6574695 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546856483160064 |
|---|---|
| author | Mohammad Arif Idrees A. Khan Mohammad Imdad Aftab Alam |
| author_facet | Mohammad Arif Idrees A. Khan Mohammad Imdad Aftab Alam |
| author_sort | Mohammad Arif |
| collection | DOAJ |
| description | In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein. |
| format | Article |
| id | doaj-art-1abaf8ec252f46f0b431dba6a99cf654 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1abaf8ec252f46f0b431dba6a99cf6542025-02-03T06:46:53ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/65746956574695Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear ContractionsMohammad Arif0Idrees A. Khan1Mohammad Imdad2Aftab Alam3Department of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaDepartment of Mathematics, Integral University, Lucknow 226026, UP, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh-202002, IndiaIn this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein.http://dx.doi.org/10.1155/2020/6574695 |
| spellingShingle | Mohammad Arif Idrees A. Khan Mohammad Imdad Aftab Alam Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions Journal of Function Spaces |
| title | Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions |
| title_full | Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions |
| title_fullStr | Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions |
| title_full_unstemmed | Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions |
| title_short | Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions |
| title_sort | employing locally finitely t transitive binary relations to prove coincidence theorems for nonlinear contractions |
| url | http://dx.doi.org/10.1155/2020/6574695 |
| work_keys_str_mv | AT mohammadarif employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions AT idreesakhan employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions AT mohammadimdad employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions AT aftabalam employinglocallyfinitelyttransitivebinaryrelationstoprovecoincidencetheoremsfornonlinearcontractions |