UNIQUE COMMON FIXED POINTS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS IN $D_1$-SPACE

Y. Wang, L. Zhong
2016 International Journal of Pure and Applied Mathematics  
In this paper we introduce a new notion, named as D1-space, which is weak than D-metric space and G-metric space. Then several families of generalized contractive type mappings are defined on the D1-space. We then obtain some theorems on the existence of unique common fixed points for these mappings which additionally satisfy the converse commuting condition.
doi:10.12732/ijpam.v106i2.18 fatcat:ftk3xoeu3vdwdivhc4jhle437e