Sentence examples for mapping in b-metric from inspiring English sources

They also established a fixed point theorem for such a mapping in b-metric spaces.

In this paper, we extend the concept of α-ψ-contractive mapping in b-metric spaces.

Subsequently several other authors [9 15] have studied and established the existence of fixed points of a contractive mapping in b-metric spaces.

We also consider fixed point results for single-valued mapping, fixed point results for set-valued mapping in b-metric space endowed with an arbitrary binary relation, and fixed point results in a b-metric space endowed with a graph.

In this section, we introduce the q-set-valued α-quasi-contraction mapping and obtain the existence of a fixed point theorem for such a mapping in b-metric spaces.

In 1989, Bakhtin [1] introduced the concept of b-metric space and presented the contraction mapping in b-metric spaces that is generalization of the Banach contraction principle in metric spaces (see also Czerwik [2]).

In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces.

Recently, in 2009, Singh and Prasad [5] introduced and established the following interesting and important coincidence points theorem for four maps in b-metric space.

He proved the contraction mapping principle in b-metric space that generalizes the famous Banach contraction principle in metric spaces.

He evidenced the contraction mapping principle in b-metric spaces that generalized the famous Banach contraction principle in metric spaces.

In 1993, Czerwik [8] introduced and proved the contraction mapping principle in b-metric spaces that generalized the famous Banach contraction principle in such spaces.