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Citation - WoS: 37
Citation - Scopus: 42
Fixed Point Results for -Contractive Mappings for a Generalized Altering Distance
(Springer international Publishing Ag, 2013) Berzig, Maher; Karapinar, Erdal
In this manuscript, we extend the concept of altering distance, and we introduce a new notion of -contractive mappings. We prove the existence and uniqueness of a fixed point for such mapping in the context of complete metric space. The presented theorems of this paper generalize, extend and improve some remarkable existing results in the literature. We also present several applications and consequences of our results.
Citation - WoS: 14
Citation - Scopus: 13
SOME FIXED POINT THEOREMS IN BRANCIARI METRIC SPACES
(Walter de Gruyter Gmbh, 2017) Berzig, Maher; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio F.
In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with a transitive binary relation. Our results unify and extend some existing fixed point results in the related literature.