Geometric Properties of Fixed Points and Simulation Functions

2021/02/10 by Özgür, Nihal, Taş, Nihal
#47H10 #FOS: Mathematics #Metric Geometry (math.MG) #Primary 54H25 #Secondary 47H09

paper · doi:10.48550/arxiv.2102.05417

Abstract

Geometric properties of the fixed point set Fix(f) of a self-mapping f on a metric or a generalized metric space is an attractive issue. The set Fix(f) can contain a geometric figure (a circle, an ellipse, etc.) or it can be a geometric figure. In this paper, we consider the set of simulation functions for geometric applications in the fixed point theory both on metric and some generalized metric spaces (S-metric spaces and b-metric spaces). The main motivation of this paper is to investigate the geometric properties of non unique fixed points of self-mappings via simulation functions.

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