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Citation - WoS: 3
Citation - Scopus: 4
A New Class of Generalized Contraction Using p-functions in Ordered Metric Spaces
(Sciendo, 2015) Amor, Sana Hadj; Karapinar, Erdal; Kumam, Poom
In this paper, we introduced and studied a new class of mappings in ordered metric spaces that is inspired from the concept of a P-function introduced in Chaipunya et. al. [10]. With our new class, we furnish fixed point theorems for continuous, noncontinuous, monotonic, and nonmonotonic mappings in various kinds of the ordering structures.
Citation - WoS: 8
Citation - Scopus: 11
g-metric Spaces in Any Number of Arguments and Related Fixed-Point Theorems
(Springer international Publishing Ag, 2014) Roldan, Antonio; Karapinar, Erdal; Kumam, Poom
Inspired by the notion of Mustafa and Sims' G-metric space and the attention that this kind of metric has received in recent times, we introduce the concept of a G-metric space in any number of variables, and we study some of the basic properties. Then we prove that the family of this kind of metric is closed under finite products. Finally, we show some fixed-point theorems that improve and extend some well-known results in this field.