Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction
Banach contraction principle behaves as a mathematical tool to solve various practical problems arising during mathematical formulation of many theoretical problems. In present work, the existence of a unique common fixed point for pairs of minimal commutative mappings is discussed, which satisfy a...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2023-12-01
|
| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1224 |
| _version_ | 1797371540635910144 |
|---|---|
| author | Kavita Lather Sanjay Kumar Rajesh Kumar Nikita Kadian |
| author_facet | Kavita Lather Sanjay Kumar Rajesh Kumar Nikita Kadian |
| author_sort | Kavita Lather |
| collection | DOAJ |
| description | Banach contraction principle behaves as a mathematical tool to solve various practical problems arising during mathematical formulation of many theoretical problems. In present work, the existence of a unique common fixed point for pairs of minimal commutative mappings is discussed, which satisfy a generalized (ψ, φ)−weak contraction involving cubic terms of distance functions. Examples are given in support of the obtained results and as an application the existence of solution of system of certain functional equations arising in dynamic programming is discussed. |
| first_indexed | 2024-03-08T18:21:21Z |
| format | Article |
| id | doaj.art-197eef10f3984460a8c8c378e7581421 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-03-08T18:21:21Z |
| publishDate | 2023-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-197eef10f3984460a8c8c378e75814212023-12-30T21:04:20ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142023-12-0148010.23755/rm.v48i0.1224856Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contractionKavita Lather0Sanjay Kumar1Rajesh Kumar2Nikita Kadian3Deenbandhu Chhotu Ram University of Science and Technology, Murthal, SonepatDeenbandhu Chhotu Ram University of Science and Technology, Murthal, SonepatInstitute of Higher Learning, BPS Mahila Vishwavidyalaya, Khanpur Kalan, SonipatDeenbandhu Chhotu Ram University of Science and Technology, Murthal, SonepatBanach contraction principle behaves as a mathematical tool to solve various practical problems arising during mathematical formulation of many theoretical problems. In present work, the existence of a unique common fixed point for pairs of minimal commutative mappings is discussed, which satisfy a generalized (ψ, φ)−weak contraction involving cubic terms of distance functions. Examples are given in support of the obtained results and as an application the existence of solution of system of certain functional equations arising in dynamic programming is discussed.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1224generalized (ψ, φ)-weak contractioncompatible mappingsminimal commutative mappings, functional equations |
| spellingShingle | Kavita Lather Sanjay Kumar Rajesh Kumar Nikita Kadian Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction Ratio Mathematica generalized (ψ, φ)-weak contraction compatible mappings minimal commutative mappings, functional equations |
| title | Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction |
| title_full | Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction |
| title_fullStr | Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction |
| title_full_unstemmed | Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction |
| title_short | Compatible mappings and its variants satisfying generalized (ψ, φ)−weak contraction |
| title_sort | compatible mappings and its variants satisfying generalized ψ φ weak contraction |
| topic | generalized (ψ, φ)-weak contraction compatible mappings minimal commutative mappings, functional equations |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1224 |
| work_keys_str_mv | AT kavitalather compatiblemappingsanditsvariantssatisfyinggeneralizedpsphweakcontraction AT sanjaykumar compatiblemappingsanditsvariantssatisfyinggeneralizedpsphweakcontraction AT rajeshkumar compatiblemappingsanditsvariantssatisfyinggeneralizedpsphweakcontraction AT nikitakadian compatiblemappingsanditsvariantssatisfyinggeneralizedpsphweakcontraction |