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.
@article{34690,
title = {A new approach to the study of fixed point theory for simulation functions in G-Metric spaces},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {37},
year = {2017},
doi = {10.5269/bspm.v37i2.34690},
language = {EN},
url = {http://dml.mathdoc.fr/item/34690}
}
Kumar, Manoj; Sharma, Rushmi. A new approach to the study of fixed point theory for simulation functions in G-Metric spaces. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i2.34690. http://gdmltest.u-ga.fr/item/34690/