Sentence examples for mapping and obtain from inspiring English sources

In [12], the authors introduce a more general weakly Kannan mapping and obtain its fixed point theorem.

We present new definitions of asymptotic center and asymptotic radius that is for a mapping and obtain new results.

In this section, we introduce the q-set-valued α-quasi-contraction mapping and obtain the existence of a fixed point theorem for such a mapping in b-metric spaces.

In this section, we introduce the partial q-set-valued quasi-contraction mapping and obtain the theorem of the existence of a fixed point for such a mapping in b-metric spaces.

We also consider the approximation of a fixed point of a nonexpansive mapping and obtain convergence theorems, one of which is a supplement of the result by Pia̧tek with an additional sufficient condition.

Later on Weiss [3] and Butnariu [4] gave the idea of a fuzzy mapping and obtained many fixed point results.

Xu [6] extended Theorem 1.3 to a multivalued nonexpansive nonself mapping and obtained the fixed theorem in 2001.

In [5], the authors introduced a more general weakly Kannan mapping and obtained its fixed point theorem.

Then f has a fixed point in A ∩ B. Furthermore, Kirk et al. [1] introduced the notion of the generalized cyclic mapping and obtained some fixed point results.

Very recently, Moudafi [18] proposed an iterative algorithm for finding a common element of, where is an -inverse-strongly monotone manding, and obtained a weak convergence theorem.

In 2008, Kohsaka and Takahashi [6] introduced nonspreading mapping and obtained a fixed point theorem for a single nonspreading mapping and a common fixed point theorem for a commutative family of nonspreading mappings in Banach spaces.