Open AccessA new approach to the study of fixed point theory for simulation functions in G-Metric spaces
Author(s) -
Manoj Kumar,
Rushmi Sharma
Publication year - 2017
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v37i2.34690
Subject(s) - metric space , fixed point theorem , contraction (grammar) , mathematics , point (geometry) , fixed point , metric (unit) , contraction mapping , function (biology) , discrete mathematics , pure mathematics , computer science , mathematical analysis , geometry , medicine , operations management , economics , evolutionary biology , biology
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.