Fixed point theorems for contractive mappings and Ćirić-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces
- College of Teacher Education, Harbin Normal University, Harbin, 150025, P. R. China.
- School of Mathematical Sciences, Harbin Normal University, Harbin, 150025, P. R. China.
In this paper, the re-defined generalized metric space which is equivalent to the generalized metric spaces defined by Jleli
and Samet is presented so that some well-known spaces are incorporated in the area of re-defined generalized metric spaces.
Some fixed point existence and uniqueness results of contractive and generalized contraction mappings defined on such metric
spaces are provided. Especially, we discussed the fixed point existence results of Ćirić-Maiti-Pal orbit mappings of contractive
type in the re-defined generalized metric spaces. In addition, some examples are provided to better support the fixed point
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Xiaoming Fan, Zhigang Wang, Fixed point theorems for contractive mappings and Ćirić-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1350--1364
Fan Xiaoming, Wang Zhigang, Fixed point theorems for contractive mappings and Ćirić-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces. J. Nonlinear Sci. Appl. (2017); 10(4):1350--1364
Fan, Xiaoming, Wang, Zhigang. "Fixed point theorems for contractive mappings and Ćirić-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1350--1364
- Re-defined generalized metric space
- fixed point theorems
- Ćirić-Maiti-Pal orbit mapping of contractive type
- f-orbitally complete.
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