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Fixed Point Results for Weakly C-Contraction Mapping in Modular Metric Spaces

DOI: 10.4236/oalib.1104061, PP. 1-9

Subject Areas: Mathematical Analysis

Keywords: Modular Metric Spaces Weakly C-Contraction Fixed Point Theory

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Abstract

In this paper, we introduce the concept of weakly C-contraction mapping in modular metric spaces. And we established some fixed point results in w-complete spaces. Our results encompass various generalizations of Banach contraction.

Cite this paper

Zhao, J. , Zhao, Q. , Jin, B. and Zhong, L. (2018). Fixed Point Results for Weakly C-Contraction Mapping in Modular Metric Spaces. Open Access Library Journal, 5, e4061. doi: http://dx.doi.org/10.4236/oalib.1104061.

References

[1]  Banach, S. (1992) 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]  Bakhtin, I.A. (1989) The Contraction Mapping Principle in Almost Metric Space. Functional Analysis, 30, 26-37.
[3]  Du, W.S. (2010) A Note on Cone Metric Spaces and Its Equivalence. Nonlinear Analysis: Theory, Methods & Applications, 72, 2259-2261.
https://doi.org/10.1016/j.na.2009.10.026
[4]  Azam, A., Fssher, B. and Khan, M. (2011) Common Fixed Points Theorems in Complete Valued Metric Spaces. Numerical Functional Analysis and Optimization, 32, 243-253.
[5]  Chatterjea, S.K. (1972) Fixed Point Theorems. Comptes Rendus de l’Academie bulgare des Sciences, 25, 727-730.
[6]  Choudhury, B.S. (2009) Unique Fixed Point Theorem for Weak C-Contractive Mapping. Journal of Engineering & Technology, 5, 6-13.
[7]  Harjani, J., López, B. and Sadarangani, K. (2011) Fixed Point Theorems for Weakly C-Contractive Mappings in Ordered Metric Spaces. Computers and Mathematics with Applications, 61, 790-769.
https://doi.org/10.1016/j.camwa.2010.12.027
[8]  Nguyen, V.D. and Vo Tie, L.H. (2013) Fixed Point Theorems for Weakly C-Contractions in Ordered 2-Metric Spaces. Fixed Point Theory and Applications, 2013, 161.
[9]  Chistyakov, W. (2006) Metric Modular Spaces and Their Application. Doklady Mathematics, 73, 32-35.
https://doi.org/10.1134/S106456240601008X
[10]  Afrah, A.A. and Mohamed, A.K. (2013) Fixed Point Results of Pointwise Contractions in Modular Metric Spaces. Fixed Point Theory and Applications, 2013, 163.
[11]  Chirasak, M., Wutiphol, S. and Poom, K. (2011) Fixed Point Theorems for Contraction Mappings in Modular Metric Spaces. Fixed Point Theory and Applications, 2011, 93.
[12]  Chistyakov, W. (2010) Modular Metric Spaces, I: Basic Concepts. Nonlinear Analysis: Theory, Methods & Applications, 72, 1-14.
https://doi.org/10.1016/j.na.2009.04.057
[13]  Chistyakov, W. (2008) Modular Metric Spaces Generated by F-Modular. Folia Mathematica, 14, 3-25.
[14]  Padcharoen, A., Gopal, D., Chaipunya, P. and Kumam, P. (2016) Fixed Point and Periodic Point Results for α-Type F-Contractions in Modular Metric Spaces. Fixed Point Theory and Applications, 2016, 39.
https://doi.org/10.1186/s13663-016-0525-4
[15]  Chirasak, M., Wutiphol, S. and Poom, K. (2011) Fixed Point Theorems for Contraction Mappings in Modular Metric Spaces. Fixed Point Theory and Applications, 2011, 93.

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