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Citation - WoS: 23
Citation - Scopus: 31
A Discussion on "α-Ψ Contraction Type Mappings "
(Univ Nis, Fac Sci Math, 2014) Karapinar, Erdal
In this paper we discuss the subadditivity property of some auxiliary functions which have been used to generalize the contractive conditions on maps. Our results show that this property is not required in many cases and therefore, can be removed. We emphasize that in several papers (see e.g.[1]-[11]) dealing with such contraction mappings, the hypotheses of the main theorems can be restated in the light of our results.
Citation - WoS: 63
Citation - Scopus: 75
Α-Ψ Contraction Type Mappings and Some Related Fixed Point Results
(Univ Nis, Fac Sci Math, 2014) Karapinar, Erdal
In this paper, we consider a generalization of alpha-psi-Geraghty contractions and investigate the existence and uniqueness of fixed point for the mapping satisfying this condition. We illustrate an example and an application to support our results. In particular, we extend, improve and generalize some earlier results in the literature on this topic.