In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b_{2}-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b_{2}-metric space. Many Mathematician gave the concept of b_{2} -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b_{2} -metric spaces and prove new results.
Published in | Pure and Applied Mathematics Journal (Volume 12, Issue 4) |
DOI | 10.11648/j.pamj.20231204.12 |
Page(s) | 72-78 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Fixed Point, b - Metric Space, 2-Metric Space, Partial Order Set, Generalized Contractive Mappings
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APA Style
Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg. (2023). Some Fixed Point Theorems on b2 - Metric Spaces. Pure and Applied Mathematics Journal, 12(4), 72-78. https://doi.org/10.11648/j.pamj.20231204.12
ACS Style
Bheem Singh Patel; Zaheer Kareem Ansari; Dharmendra Kumar; Arun Garg. Some Fixed Point Theorems on b2 - Metric Spaces. Pure Appl. Math. J. 2023, 12(4), 72-78. doi: 10.11648/j.pamj.20231204.12
AMA Style
Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg. Some Fixed Point Theorems on b2 - Metric Spaces. Pure Appl Math J. 2023;12(4):72-78. doi: 10.11648/j.pamj.20231204.12
@article{10.11648/j.pamj.20231204.12, author = {Bheem Singh Patel and Zaheer Kareem Ansari and Dharmendra Kumar and Arun Garg}, title = {Some Fixed Point Theorems on b2 - Metric Spaces}, journal = {Pure and Applied Mathematics Journal}, volume = {12}, number = {4}, pages = {72-78}, doi = {10.11648/j.pamj.20231204.12}, url = {https://doi.org/10.11648/j.pamj.20231204.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20231204.12}, abstract = {In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b2 -metric spaces and prove new results.}, year = {2023} }
TY - JOUR T1 - Some Fixed Point Theorems on b2 - Metric Spaces AU - Bheem Singh Patel AU - Zaheer Kareem Ansari AU - Dharmendra Kumar AU - Arun Garg Y1 - 2023/09/27 PY - 2023 N1 - https://doi.org/10.11648/j.pamj.20231204.12 DO - 10.11648/j.pamj.20231204.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 72 EP - 78 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20231204.12 AB - In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b2 -metric spaces and prove new results. VL - 12 IS - 4 ER -