RESULTS ON N-TUPLED COINCIDENCE AND FIXED POINTS IN PARTIALLY ORDERED G-METRIC SPACES VIA SYMMETRIC (φ, ψ)-CONTRACTIONS

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.