Sentence examples for for such maps from inspiring English sources

Later on, Kirk and Xu [23] introduced the concept of asymptotic pointwise nonexpansive mappings which generalizes the concept of asymptotically nonexpansive mappings and proved the existence of fixed points for such maps in a uniformly convex Banach space.

The need for such maps is great.

We extend work of Christensen and Sinclair on completely bounded multilinear forms to the case of subspaces of C∗ algebras, and obtain a representation theorem and a Hahn-Banach extension theorem for such maps.

Inspired by the work of Lai-Sang Young '98 on constructing SRB measures, Pesin, Senti, and Zhang '16 introduced maps with inducing schemes of hyperbolic type and effected thermodynamical formalism for such maps, i.e., constructed equilibrium measures for a broad class of potentials.

Now we present a fixed point theorem for such maps.

In [4], sufficient conditions are given to obtain a unique best proximity point for such maps.

Database support for such mapping and translation operations varies widely.

However, we impose subtle restrictions to obtain fixed point results for such mapping.

For such mapping, we considered only the state in which the first author was bound.

We prove the existence and uniqueness of a fixed point for such mapping in the context of complete metric space.

Lakshimikantham and Ćirić [12] extended the results in [11] by defining the mixed g-monotone and to study the existence and uniqueness of coupled coincidence point for such mapping which satisfy the mixed monotone property in partially ordered metric space.