Sentence examples for maps in cone from inspiring English sources

The authors [26 28] proved fixed point theorems for multivalued maps in cone metric spaces.

They proved some fixed point theorems for single maps in cone metric spaces.

We prove some fixed point theorems for multivalued maps in cone metric spaces.

The authors [8] proved a Caristi-type fixed-point theorem for single valued maps in cone metric spaces.

Then, we prove some results on the existence of fixed points for multivalued maps in cone metric spaces.

Especially, the authors [16, 31, 35, 42, 45, 47] proved fixed point theorems for multivalued maps in cone metric spaces.

In this paper, we introduce the notion of a quasi-contractions restricted with a linear bounded mapping in cone metric spaces.

In this paper, we introduce the notion of a quasi-contraction restricted with a linear bounded mapping in cone metric spaces, and prove a unique fixed point theorem for this quasi-contraction without the normality of the cone.

Obviously, a positive solution of the boundary value problem (1) and (3) is equivalent to a nonzero fixed point of the operator Q. Next, we will use fixed point index theorem of condensing mapping in cone to seek the nonzero fixed point of Q.

The argument is based on the fixed point index theory of condensing mapping in cones.

The argument of the paper is based on the fixed point index theory of condensing mapping in cones.