Sentence examples for been generalized in various from inspiring English sources

This theorem has been generalized in various directions (see [11, 14 16]).

It is well known that the Banach contraction principle has been generalized in various directions.

Because of its wide applications, Ky Fan minimax inequalities have been generalized in various ways.

Weak contractions are intermediate to the contractions and non-expansions which have been generalized in various ways and have been utilized in different types of problem.

The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions (cf. [1 31]).

Only at the end of fifties Gagliardo and Nirenberg gave simple proofs of inequality (1.3) for all Inequality (1.3) has been generalized in various directions (see [1 6] for details).

Hyers' theorem was generalized in various directions.

This semantics can be generalized in various ways.

Theorem 3.1 can be generalized in various directions.

A lot of results concerning the standard problem for scalar second-order ordinary differential equations were generalized in various directions.

The methods and ideas introduced by Banach and Caccioppoli were generalized in various ways to analyze and solve an astonishing variety of convergence, existence, and approximation problems.