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Citation - WoS: 40
Citation - Scopus: 50
Fixed Points of (ψ, Φ) Contractions on Rectangular Metric Spaces
(Springer international Publishing Ag, 2012) Erhan, Inci M.; Karapinar, Erdal; Sekulic, Tanja
Existence and uniqueness of fixed points of a general class of (psi, phi) contractive mappings on complete rectangular metric spaces are discussed. One of the theorems is a generalization of a fixed point theorem recently introduced by Lakzian and Samet. Fixed points of (psi, phi) contractions under conditions involving rational expressions are also investigated. Several particular cases and applications as well as an illustrative example are given.
Citation - WoS: 1
Citation - Scopus: 2
On an Extension of Contractivity Conditions Via Auxiliary Functions
(Springer international Publishing Ag, 2015) Agarwal, Ravi P.; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco
In this manuscript, we study sufficient conditions on the functions that appears in very complex contractivity conditions introduced in a recent manuscript by Liu et al. in order to guarantee the existence and uniqueness of common fixed points of four self-mappings.