Recommended by Thomas Bartsch We give some new definitions of D *-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D *-metric spaces. We get some improved versions of several fixed point theorems in complete D *-metric spaces.

This paper is to prove a common fixed point theorem for four self maps which generalizes the result of Brian Fisher [1] by a weaker conditions such as weakly compatible mappings and associated sequence instead of commuting mappings and completeness of a metric space.

We prove common fixed point theorems for the newly introduced “occasionally Cq-commuting” mappings satisfying generalized non expansive condition using subsequential continuity of the mappings involved. Our results are more general than many recent results existing in the literature. Mathematics Subject Classification: 54H25, 47H10

Groups with commuting inner mappings are of nilpotency class at most two, but there exist loops with commuting inner mappings and of nilpotency class higher than two, called loops of Csörgő type. In order to obtain small loops of Csörgő type, we expand our programme from Explicit constructions of loops with commuting inner mappings, European J. Combin. 29 (2008), 1662–1681, and analyze the foll...

In this paper, we first introduce a new notion of the property (M_{C}) to improve and generalize (G_{C}). After that, present two concepts, proximal b-cyclic contraction type second type, on b-metric spaces. Then, obtain best proximity point results for such mappings in frameworks proximally complete spaces by using (M_{C}). Hence, some existing literature. Finally, illustrative interesting exa...

The author studies trends in commuting to the city of Zagreb in Croatia, Yugoslavia. Commuter surveys and bivariate analysis are used to describe the socioeconomic level, occupational status, transportation method, and place of residence of rural and urban residents who commute to the city. (SUMMARY IN ENG AND RUS)