A new approach to the study of fixed point theory for simulation functions in G-Metric spaces

Manoj Kumar, Rushmi Sharma

Abstract


In this paper first of all, we introduce the mapping  : [0;1) X [0;1)   R,called the simulation function and the notion of Z-contraction with respect to which generalize several known types of contractions. Secondly, we prove certain xed point theorems using simulation functions in G-Metric spaces. An example is also given to support our result.

Keywords


Simulation function; Contraction mapping; Z-contraction; Fixed point; G-Metric spaces

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DOI: http://dx.doi.org/10.5269/bspm.v37i2.34690



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