Sentence examples for mapping in metric from inspiring English sources

Subsequently, there are a number of results proved for contraction mappings via the concept of α-admissible mapping in metric spaces and other spaces (see [17 19] and references therein).

In 1922, S. Banach proved a fixed point theorem for contraction mapping in metric space.

Shatanawi [16] presented some fixed point theorems for a nonlinear weakly (mathcal{C} -contraction type mapping in metriC} -contraction

On the other hand, Samet et al. [5] introduced the notions of α, ψ contractive and α-admissible mapping in metric spaces.

Their works generalized and subsumed the works of [6, 8, 11, 12] to single-valued mapping in metric spaces with a graph.

In this section, we first obtain best proximity point theorems for weakly contractive mapping and weakly Kannan mapping in metric spaces.

We set up two new variants of ψ-contractive mappings designed for two and three maps in metric spaces and originate common fixed point theorems for T -strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric spaces.

The Banach contraction mapping principle is the most important in mathematics analysis, it guarantees the existence and uniqueness of a fixed point for certain self-mapping in metric spaces and provides a constructive method to find this fixed point.

In 1999, Pant [14] introduced the concept of weakly commuting maps in metric spaces.

This paper investigates some properties of cyclic fuzzy maps in metric spaces.

In this section we discuss the existence of best proximity points for cyclic -contraction maps in metric spaces.