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Citation - WoS: 3
Citation - Scopus: 5
Fixed Point Theorems for Generalized Contractions on gp-metric Spaces
(Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Salimi, Peyman
In this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces. MSC: 47H10, 54H25.
Citation - WoS: 28
Citation - Scopus: 34
A Note on Common Fixed Points for (ψ, Α, Β)-Weakly Contractive Mappings in Generalized Metric Spaces
(Springer international Publishing Ag, 2013) Bilgili, Nurcan; Karapinar, Erdal; Turkoglu, Duran
Very recently, Isik and Turkoglu (Fixed Point Theory Appl. 2013:131, 2013) proved a common fixed point theorem in a rectangular metric space by using three auxiliary distance functions. In this paper, we note that this result can be derived from the recent paper of Lakzian and Samet (Appl. Math. Lett. 25:902-906, 2012).