Unique Common Fixed Points for Mappings Satisfying φ-Contractions on b2 Metric Spaces - Open Access Library Journal

OALibJ > Vol.5 No.7, July 2018

Open Access Library Journal

Volume 5, Issue 7 (July 2018)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

Unique Common Fixed Points for Mappings Satisfying φ-Contractions on b₂ Metric Spaces ()

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DOI: 10.4236/oalib.1104723 797 Downloads 2,044 Views Citations

Author(s)

Yihao Sheng, Jianping Ren, Linan Zhong^*

Affiliation(s)

Department of Mathematics, Yanbian University, Yanji, China.

ABSTRACT

In this paper, we construct the convergence sequences on b₂ metric spaces and prove that mappings satisfying the φ contractions have the unique common fixed point, and the conclusion we obtained generalized many results on 2 metric spaces.

KEYWORDS

b₂-Metric Space, Common Fixed Point, Contractive Condition, Comparison Function

Share and Cite:

Sheng, Y. , Ren, J. and Zhong, L. (2018) Unique Common Fixed Points for Mappings Satisfying φ-Contractions on b₂ Metric Spaces. Open Access Library Journal, 5, 1-9. doi: 10.4236/oalib.1104723.

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