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.
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.
In this paper, we prove coincidence point for two pair of mappings satisfying (CLRST
)- property with the help C-class function, altering distance function and ultra altering distance function in the framework of b-metric spaces. Moreover, we also attain unique common fixed point for two weakly compatible pairs. Various results can also be derived from our main result in the frame of metric spaces.
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