Sentence examples for mappings have a from inspiring English sources

Then the mappings have a unique fixed point.

It was clear from the start that such mappings have a different behavior from contraction mappings.

We establish that such mappings have a unique common end point under certain weak conditions.

Hence, we can apply Theorem 3.1 and conclude that the mappings have a unique common fixed point.

Iterative schemes to approximate fixed points of nonlinear mappings have a long history and they still are an active research area of the nonlinear operator theory.

Let be a nonempty set and the mappings have a unique point of coincidence in If and are weakly compatibles, then, and have a unique common fixed point.

Since has the fixed point property for nonexpansive mappings, has a fixed point in.

In Section 3 a partial metric extension of Sehgal-Guseman result for mappings having a contractive iterate is obtained.

Chang [7] prove that every couple of quasicontractive mappings has a unique common fixed point in Banach spaces.

In 1955, Krasnoselskii [25] proved that a sum of two mappings has a fixed point, when the mappings are a contraction and compact.

Iterative construction of fixed points of nonlinear mappings has a long history and is still an active field in the nonlinear functional analysis.