Studies on Fixed Point Theorems for the Families of Selfmaps on Rings

Abstract

The families of self-maps \(\left\{\mathrm{f}_{\mathrm{i}}: \mathrm{R} \rightarrow \mathrm{R}: \mathrm{i} \in \mathrm{N}\right\}\)  on a Ring  \((\mathrm{R},+;)\) , for each  in  are under consideration. We will prove fixed point theorems for these mappings in this work. We'll show that the collection of fixed points for these mappings forms a ring, an Ideal, and a variety of Algebraic structures.