Weak contractions, common fixed points, and invariant approximations
The concept of weak contraction was extended to the notion of \((\theta, L)\)-weak contraction by \textit{V.\,Berinde} [``On the approximation of fixed points of weak contractive mappings'', Carpathian J.~Math.\ 19, No.\,1, 7--22 (2003; Zbl 1114.47045)]. In this paper, the authors extend the concept of \((\theta, L)\)-weak contraction and introduce the notion of \((f,\theta, L)\)-weak contraction. For the underlying concept, the authors first establish a common fixed point result and then apply it to get a result in the field of approximation.
scientific article; zbMATH DE number 5624544