Sentence examples for establish a generalization of from inspiring English sources

We establish a generalization of several results.

Best proximity point theorems establish a generalization of fixed points by considering self-mappings.

We establish a generalization of the inequality introduced by Mitrinović and Pečarić in 1988.

In this section, we establish a generalization of Dunkl-Williams inequality and its reverse in 2-normed spaces.

In the third section, we also establish a generalization of (1.4) for the degenerate Bernoulli polynomial β n ( λ, x ) (see, e.g., [3]).

In the present section, we shall establish a generalization of Diaz-Margolis's fixed point theorem (i.e. Theorem 1.1) for (mathcal{MT} -functions in the setting of comathcal{MT} -functionsrin spaces.

We aim at establishing a generalization of the Plemelj-Sokhotzki formulae to the case of -monogenic matrix functions.

Following the concept of a Δ-density for a subset of a time scale, we established a generalization of these notions which are called Δ-limit and Δ-cluster points for a function defined on a time scale (mathbb{T}).

Cohen and Mullen [2] established a generalization of Golomb's conjecture by proving the existence of q 0 > 0 such that, whenever q > q 0, there exist α, β ∈ F q with γ α + δ β = ε, where γ, δ and ε are arbitrary non-zero elements of F q.

Zhang and Sun [2] established a generalization of the Leggett-Williams fixed point theorem and studied the existence of multiple nondecreasing positive solutions for problem (1) by replacing (q(t)f t,u(t),u'(t))) with (f t,u(t),u'(t),u t))).

In addition to the principle of sub-supersolution, we shall establish also a generalization of Theorem 2.1 of [3].