A note on ‘Some fixed point theorems for generalized contractive mappings in complete metric spaces’

Very recently, Hussain et al. (Fixed Point Theory Appl. 2015:185, 2015) introduced the concept of JS-contraction and established some fixed point theorems for such contractions. In this paper, we introduce a new method of proofs that allows us to prove fixed point theorems for JS-contraction in complete metric spaces by removing two conditions in theorems of Hussain et al. Thus, we prove that fixed point Theorems 2.3-2.8 and Corollary 2.9 of Hussain et al. actually are consequences, and not generalizations, of the corresponding theorems of Ćirić, Chatterjea, Kannan, and Reich.