Sentence examples for mappings having a from inspiring English sources

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

In this section we extend some results in [7] to the setting of two mappings having a unique common fixed point.

The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed g-monotone property in partially ordered G-metric spaces.

Coupled fixed point results for nonlinear contraction mappings having a mixed monotone property in a partially ordered G-metric space due to Choudhury and Maity are extended and unified.

Very recently, Chandok et al. [21] were concerned with some coupled coincidence point theorems for a pair of mappings having a mixed g-monotone property in partially ordered G-metric spaces.

Then the mappings have a unique fixed point.

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

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

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

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

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