Sentence examples for maps in metric from inspiring English sources

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.

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

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

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

It is obvious that Definition 2.3 extends the concept of snap-back repeller to maps in metric spaces.

Very recently, Cho [17] introduced the notion of weakly α-contractive maps in metric spaces and proved a fixed point theorem for these maps.

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).

An interesting and general contraction condition for self-maps in metric spaces was considered by Meir and Keeler [13] in 1969.

This paper is focused on the study of boundedness and convergence of sequences of distances and iterated points and the characterization of fixed points of a class of composite self-maps in metric spaces.

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