Sentence examples for for a mappings from inspiring English sources

Using the notion of compatible mappings in the setting of a partially ordered metric space, we prove the existence and uniqueness of coupled coincidence points involving a -contractive condition for a mappings having the mixed g-monotone property.

For a mappings T of C into itself, Rhoades [4] considered the following modified Ishikawa iteration process (cf. Ishikawa [5]) in C defined by x 1 ∈ C : x n + 1 = α n T n y n + ( 1 − α n ) x n, y n = β n T n x n + ( 1 − β n ) x n, (1.1).

Since the class of relatively nonexpansive mappings is properly contained in the class of total quasi-φ-asymptotically nonexpansive mappings, for a finitely many mappings case, one can derive the desired result from Theorem 2.1.

Aydi [8] obtained a fixed point result for a self-mapping satisfying -weakly contractive conditions.

A fixed point for a self-mapping T : X → X is a point x ∈ X such that T x = x.

Then the existence of a fixed point for these mappings in a Ptolemy metric space are proved.

For intraspecies mappings a similarity of 98 % for at least 95%% of the read length was required, for interspecies mappings this similarity was reduced to 80%% similarity across 80%% of the read length.

For a family of mappings, we have the following extension.

As a simple we drive the following corollary for a pair of mappings.

One of the general fixed point theorems for a generalized multivalued mappings appears in [10].

We prove some coupled coincidence and coupled common fixed point theorems for a pair of mappings.