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

Autores

  • Manoj Kumar Lovely Professional University Department of Mathematics
  • Rushmi Sharma Lovely Professional University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v37i2.34690

Palavras-chave:

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

Resumo

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.

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Publicado

2017-04-23

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