Browsing by Author "Alghamdi, Maryam A."

Now showing 1 - 3 of 3

Citation - WoS: 11
Citation - Scopus: 14
The Generalized Weaker (α-Φ Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces
(Hindawi Publishing Corporation, 2014) Alghamdi, Maryam A.; Chen, Chi-Ming; Karapinar, Erdal
We introduce the notion of generalized weaker (alpha-phi-phi)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.
Citation - WoS: 27
Citation - Scopus: 32
g-β< Type Mappings in g-metric Spaces
(Springer int Publ Ag, 2013) Alghamdi, Maryam A.; Karapinar, Erdal
In this paper, we introduce G-beta-psi-contractive mappings which are generalizations of alpha-psi-contractive mappings in the context of G-metric spaces. Additionally, we prove existence and uniqueness of fixed points of such contractive mappings. Our results generalize, extend and improve the existing results in the literature. We state some examples to illustrate our results.
Citation - WoS: 29
Citation - Scopus: 36
G-β-ψ contractive-type mappings and related fixed point theorems
(Springer, 2013) Alghamdi, Maryam A.; Karapinar, Erdal
In this paper, we introduce the notion of generalized G-beta-psi contractive mappings which is inspired by the concept of alpha-psi contractive mappings. We showed the existence and uniqueness of a fixed point for such mappings in the setting of complete G-metric spaces. The main results of this paper extend, generalize and improve some well-known results on the topic in the literature. We state some examples to illustrate our results. We consider also some applications to show the validity of our results.