International Journal of Mathematical Analysis Vol. 9, 2015, no. 36, 1769 - 1783 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ijma.2015.53148 Coincidence and Common Fixed Points for a Sequence of Mappings in G-metric Spaces Mohammad Al-Khaleel Department of Mathematics and Sciences Dhofar University, Salalah, Oman Corresponding author Abdullah Alahmari Umm Al-Qura Univeristy, Saudi Arabia Sharifa Al-sharif Department of Mathematics Yarmouk University, Jordan Copyright c  2015 Mohammad Al-Khaleel, Abdullah Alahmari and Sharifa Al-sharif. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we ﬁnd suﬃcient conditions for existence and uniqueness of ﬁxed and coincidence points for inﬁnite sequence of mappings satisfying some certain contractive conditions in what so called the generalized metric, G-metric, spaces. Mathematics Subject Classiﬁcation: 47H10, 54H25, 54E35, 46B20 Keywords: Generalized metric space, contractive condition, coincidence point, ﬁxed point