Some results on existence and approximation in metric fixed point theory
Let \((M, d)\) be a metric space and let \(T: M\to M\) be a selfoperator. If we denote \(F(x)= d(x,Tx)\), \(x\in M\), we obtain a real function, whose so-called regular-global-inf property may be successfully used in order to obtain fixed point results, without assuming any continuity condition on the involved operator \(T\). The authors obtain in the paper under review such kind of results in both metric and Banach space setting, by considering various classes of (generalized) contractions.
scientific article; zbMATH DE number 1398420
scientific article