Browsing by Author "Asadi, Mehdi"

Now showing 1 - 3 of 3

Citation - WoS: 21
Citation - Scopus: 25
Alpha-Psi Contractions on Generalized Metric Spaces
(Springer, 2014) Asadi, Mehdi; Karapinar, Erdal; Kumar, Anil; Mathematics
In this work, we introduce the class of alpha-psi-Geraghty contraction as well as generalized alpha-psi-Geraghty contraction mappings in the context of generalized metric spaces where psi is an auxiliary function which does not require the subadditive property and set up some fixed point results for both classes individually. Our results will extend, improve and generalize several existing results in the literature.
Citation - WoS: 23
Citation - Scopus: 35
A new approach to G-metric and related fixed point theorems
(Springer, 2013) Asadi, Mehdi; Karapinar, Erdal; Salimi, Peyman; Mathematics
Very recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usual metric space. In this paper, we state and prove some fixed point theorems in the framework of G-metric space that cannot be obtained from the existence results in the context of associated metric space.
Citation - WoS: 82
Citation - Scopus: 98
New Extension of p-metric Spaces With Some Fixed-Point Results on m-metric Spaces
(Springer international Publishing Ag, 2014) Asadi, Mehdi; Karapinar, Erdal; Salimi, Peyman; Mathematics
In this paper, we extend the p-metric space to an M-metric space, and we shall show that the definition we give is a real generalization of the p-metric by presenting some examples. In the sequel we prove some of the main theorems by generalized contractions for getting fixed points and common fixed points for mappings.