In this paper first of all, we introduce the mapping ζ : [0, ∞)×[0, ∞) → R, called the simulation function and the notion of Z-contraction with respect to ζ which generalize several known types of contractions. Secondly, we prove certain fixed point theorems using simulation functions in G-Metric spaces. An example is also given to support our results.

In this paper, we introduce new notions of generalized F-contractions of type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

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In this work, we establish some coincidence and common fixed point theorems in symmetrical G-metric space via simulation functions. In the presented work, we extend the results of Argoubi et al. [H. Argoubi, B. Samet, C. Vetro, J. Nonlinear Sci. Appl., 8 (2015), 1082-1094] by using the concept of G-metric space. An illustrative example is also given to show the genuineness of our results. We also apply our results to derive some coincidence and common fixed point results for right monotone simulation function in the framework of G-metric space.

First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.

In this paper, our aim is to present a new class of generalized (beta-phi)-Z- contractive pair of mappings and we prove certain xed point theorems for a pair of mappings using this concept. Our results generalizes some xed point theorems in the literature. As an application some xed point theorems endowed with a partial order in metric spaces are also proved.

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Recently, Rahul Tiwari et. al. proved common fixed point theorem with six maps in complex valued metric spaces. In this paper we obtain a common fixed point theorem for six maps in complex valued metric spaces having commuting and weakly compatible and satisfying different type of inequality. Our theorem generalizes and extends the results of said researcher.