Invariant property of roughly contractive mappings
If \((M,d)\) is a metric space, a \(r\)-roughly \(k\)-contractive mapping on \(M\) is a map \(T: M\to M\) satisfying the condition \(d(Tx, Ty)\leq kd(x,y)+ r\), for all \(x,y\in M\) and some \(k\in (0,1)\) and \(r>0\). Several \(\gamma\)-fixed point theorem for \(r\)-roughly \(k\)-contractive mappings on convex and non-convex domains are proved.
\(r\)-roughly \(k\)-contractive mappings
scientific article; zbMATH DE number 1556460