# Some new results on complete $U^*_n$--metric space

Volume 6, Issue 3, pp 216--226
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### Authors

Akbar Dehghan Nezhad - Department of Mathematics, Yazd University, 89195-741, Yazd, Iran. Najmeh Khajuee - Department of Mathematics, Yazd University, 89195-741, Yazd, Iran.

### Abstract

In this paper, we give some new definitions of $U^*_n$-metric spaces and we prove a common fixed point theorem for two mappings under the condition of weakly compatible and establish common fixed point for sequence of generalized contraction mappings in complete $U^*_n$-metric space.

### Share and Cite

##### ISRP Style

Akbar Dehghan Nezhad, Najmeh Khajuee, Some new results on complete $U^*_n$--metric space, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 3, 216--226

##### AMA Style

Dehghan Nezhad Akbar, Khajuee Najmeh, Some new results on complete $U^*_n$--metric space. J. Nonlinear Sci. Appl. (2013); 6(3):216--226

##### Chicago/Turabian Style

Dehghan Nezhad, Akbar, Khajuee, Najmeh. "Some new results on complete $U^*_n$--metric space." Journal of Nonlinear Sciences and Applications, 6, no. 3 (2013): 216--226

### Keywords

• $U^*_n$-metric space
• complete $U^*_n$-metric space
• sequence of contractive mapping.

•  47H10
•  54H25

### References

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