文摘
In this paper, we consider, discuss and complement fixed points results for mappings satisfying cyclical contractive conditions established by Kirk et al. (Fixed Point Theory 4(1):79–89, 2003). By using our new Lemma we get much shorter and nicer proofs of some results with the new concept of mappings. Keywords Cyclic type contractions Fixed point theorem Geraghty’s type theorem Boyd–Wong theorem Edelstein’s theorem Caristi’s type theorem