Sentence examples for mappings of type from inspiring English sources

compatible mappings of type (C) 2002 Singh [58] 27.

Mappings of type Γ are nonexpansive; affine nonexpansive mappings are of type Γ; Mappings of type Γ have convex fixed point sets.

For F-expanding mappings of type II, it is necessary to take (z=y) and apply the proof for F-expanding mappings of type I. □.

The concept of compatible mappings of type (B) was introduced by Pathak and Khan (see [34]).

Recently, Aoyama et al. [31] discussed some properties of mappings of type and in Banach spaces.

g-biased mappings of type (A) 1998 Pathak et al. [51] 20.

Since then, several fixed point theorems have been proved for sequentially weakly continuous mappings of Darbo type, Sadovskii type [6, 7] and Krasnosel'skii type [8 12] and many others.

Shahi et al. in [9] introduced the following new concept of α-ψ-contractive type mappings of integral type.

First, we introduce two classes of generalized α-ψ-contractive type mappings of integral type in the following way.

In the present work, we introduce two classes of generalized α-ψ-contractive type mappings of integral type inspired by the report of Karapınar and Samet [7].

The aim of this paper is to introduce two classes of generalized α-ψ-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces.