1. AN IMPROVEMENT OF RECENT RESULTS IN M-METRIC SPACES WITH NUMERICAL RESULTS.
- Author
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KUMROD, PATHAITHEP and SINTUNAVARAT, WUTIPHOL
- Subjects
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METRIC spaces , *NUMERICAL analysis , *FIXED point theory , *MATHEMATICAL mappings , *GENERALIZATION - Abstract
Recently, Asadi et al. [M. Asadi, E. Karapinar, P. Salimi, New extension of p-metric spaces with some fixed-point results on M-metric spaces, Journal of Inequalities and Applications, 18 (2014)] introduced and studied the concept of an M-metric space and proved Banach and Kannan fixed point results in complete M-metric spaces. In this work, we establish some fixed point results for nonlinear contractive mappings by utilizing the control functions which were initiated by Sintunavarat et al. [W. Sintunavarat, Y. J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Computers and Mathematics with Applications, 62 (2011) 1969-1978]. Presented theorems extend and generalize many existing results in the literature. We also give some illustrative examples. [ABSTRACT FROM AUTHOR]
- Published
- 2017