On the geometry of fixed points of self-mappings on S-metric spaces

Authors : Nihal ÖZGÜR, Nihal TAŞ

Pages : 1184-1192

Doi:10.31801/cfsuasmas.616325

View : 18 | Download : 10

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :In this paper, we focus on some geometric properties related to the set Fixinsert ignore into journalissuearticles values(T);, the set of all fixed points of a mapping T:X→X, on an S-metric space insert ignore into journalissuearticles values(X,S);. For this purpose, we present the notions of an S-Pata type x₀-mapping and an S-Pata Zamfirescu type x₀-mapping. Using these notions, we propose new solutions to the fixed circle insert ignore into journalissuearticles values(resp. fixed disc); problem. Also, we give some illustrative examples of our main results.  In this paper, we give new solutions to the fixed circle insert ignore into journalissuearticles values(resp. fixed disc); problem on S-metric spaces. In Section 2, we prove some fixed circle and fixed disc results  using different approaches. In Section 3, we give some illustrative examples of our obtained results and deduce some important remarks. In Section 4, we summarize  our study and recommend some future works.
Keywords : S metric space, fixed circle, S Pata type x 0 mapping, S Pata Zamfirescu type x 0 mapping