Sentence examples for mappings has a from inspiring English sources

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

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

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

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

Since the case for two mappings has a direct link to minimization problems [19], so this fact motivated Khan and Takahashi [7] to approximate common fixed points of two asymptotically nonexpansive mappings.

On the other hand, theory of multivalued mappings has an important role in various branches of mathematics because of its applications in optimal control problems involving integrodifferential inclusions.

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.

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

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