Nonlinear Functional Analysis and Applications Vol. 20, No. 3 (2015), pp. 491-516 http://nfaa.kyungnam.ac.kr/jour-nfaa.htm Copyright c  2015 Kyungnam University Press KUP ress RESULTS ON n -TUPLED COINCIDENCE AND FIXED POINTS IN PARTIALLY ORDERED G-METRIC SPACES VIA SYMMETRIC (φ, ψ)-CONTRACTIONS Deepak Singh 1 , Varsha Chauhan 2 and Vishal Joshi 3 1 Department of Applied Sciences, NITTTR, Under the ministry of HRD Govt. of India, Bhopal(M.P.), 462002, India e-mail: dk.singh1002@gmail.com 2 Department of Mathematics, NRI Institute of Research & Technology Bhopal(M.P.), India e-mail: varsha18chauhan@gmail.com 3 Department of Mathematics Jabalpur Engineering College, Jabalpur(M.P.), India e-mail: joshinvishal76@gmail.com Abstract. Recently, n -tupled ﬁxed point theorems have been intensively studied by some authors in the framework of partially ordered G-metric spaces. In the present paper, some n -tupled coincidence as well as n -tupled ﬁxed point results for a pair of symmetric (φ,ψ )-contractive mappings having mixed g -monotone property are established in the context of partially ordered complete G- metric spaces. Furthermore uniqueness of n -tupled common ﬁxed points is presented. Our results improve the results of Karpinar et al. [8], Jain and Tas [7] and Mustafa [16]. In light of the comment given in Jain and Tas [7], our results also generalize the results of Choudhary and Maity [5], Nashine [18] and Mohiuddin et al. [15]. To substantiate the validity of our hypothesis, some examples are also presented herein. 1. Introduction Bhaskar and Lakshmikantham [3] introduced the notion of a coupled ﬁxed point and proved some coupled ﬁxed point theorems in partially ordered com- plete metric spaces. Afterwards, Lakshmikantham and Ciric [13] extended 0 Received February 27, 2015. Revised April 30, 2015. 0 2010 Mathematics Subject Classiﬁcation: 47H10, 54H25. 0 Keywords: G-metric space, commutative mappings, mixed g -monotone property, n - tupled coincidence point, n -tupled ﬁxed point, regular G-metric space.