全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

Suzuki-Type Fixed Point Results in b2-Metric Spaces

DOI: 10.4236/oalib.1104751, PP. 1-7

Subject Areas: Mathematical Analysis

Keywords: Common Fixed Point, Complete b2-Metric Space, Suzuki Contraction

Full-Text   Cite this paper   Add to My Lib

Abstract

A common fixed point theorem for Suzuki-type contractions in the setting of b2-metric space is established in this paper. Our result extends some known results from metric spaces to b2-metric space. The research is meaningful and I recommend it to be published in the journal.

Cite this paper

Cui, J. and Zhong, L. (2018). Suzuki-Type Fixed Point Results in b2-Metric Spaces. Open Access Library Journal, 5, e4751. doi: http://dx.doi.org/10.4236/oalib.1104751.

References

[1]  Banach, S. (1922) Sur les opérations dans les ensembles abtraits et leur applications aux équations intégrales. Fundamenta Mathematicae, 3, 133-181.
https://doi.org/10.4064/fm-3-1-133-181
[2]  Ekeland, I. (1974) On the Variational Principle. Journal of Mathematical Analysis and Applications, 47, 324-353.
https://doi.org/10.1016/0022-247X(74)90025-0
[3]  Meir, A. and Keeler, E. (1969) A Theorem on Contraction Mappings. Journal of Mathematical Analysis and Applications, 28, 326-329.
https://doi.org/10.1016/0022-247X(69)90031-6
[4]  Wang, Y.M. and Zhong, L.N. (2016) Unique Common Fixed Points in b2 Metric Spaces. Mathematia Aeterna, 6, 415-426.
[5]  Zhao, Q.Q. and Zhong, L.N. (2016) Common Fixed Point Results Generalized Contraction in Modular Metric Space. Pioneer Journal of Mathematics and Mathematical Sciences, 18, 73-86.
[6]  Suzuki, T. (2004) Generalized Distance and Existence Theorems in Complete Metric Spaces. Journal of Mathematical Analysis and Applications, 253, 440-458.
https://doi.org/10.1006/jmaa.2000.7151
[7]  Czerwik, S. (1993) Contraction Mappings in b-Metric Spaces. Acta Mathematica et Informatica Universitatis Ostraviensis, 1, 5-11
[8]  Piao, Y.J. (2008) Unique Common Fixed Point for a Family of Self-Maps with Same Type Contractive Condition in 2-Metric Spaces. Analysis in Theory and Application, 24, 316-320.
https://doi.org/10.1007/s10496-008-0316-9
[9]  Mustafa, Z., Parvaech, V., Roshan, J.R. and Kadelburg, Z. (2014) b2-Metric Spaces and Some Fixed Point Theorems. Fixed Point Theory and Applications, 2014, 144.
https://doi.org/10.1186/1687-1812-2014-144
[10]  Fadail, Z.M., Ahmad, A.G.B., Ozturk, V. and Radenovic, S. (2015) Some Remarks on Fixed Point Results of b2-Metric Spaces. Far East Journal of Mathematical Sciences, 97, 533-548.

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413