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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.