Sentence examples for monotone operators by from inspiring English sources

In this paper, we consider the problem of finding zeros of maximal monotone operators by hybrid proximal point method.

In Section 4, we obtain the approximate controllability for nonlinear evolution equation (1.1) with hemicontinuous monotone operators by using the theory of monotone operators.

This paper is organized as follows: In Section 2, we give some eigenvalue results for strongly quasibounded maximal monotone operators by applying the Kartsatos-Quarcoo degree theory.

In this section, we present a variant of the Fredholm alternative for strongly quasibounded maximal monotone operators, by applying Kartsatos-Quarcoo degree theory as in Section 2.

We have proposed two new iterative algorithms for finding the common solution of the sum of two monotone operators by using hybrid methods and shrinking projection methods.

In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.

In this paper motivated by the iterative schemes considered in the present paper, we will introduce two iterative algorithms for finding zero points of the sum of an inverse-strongly monotone and a maximal monotone operator by using hybrid projection methods and shrinking projection methods.

In [11], Kamimura and Takahashi investigated the problem of finding zero points of a maximal monotone operator by considering the following iterative algorithm: x 0 ∈ H, x n + 1 = α n x n + ( 1 − α n ) J λ n x n, n = 0, 1, 2, …, (1.2).

To solve the above problem (E), we thus use the degree theory for densely defined ( S + ) L -perturbations of maximal monotone operators introduced by Kartsatos and Quarcoo in [18].

Mixed monotone operators were introduced by Guo and Lakshmikantham [16] in 1987.

In (1987), mixed monotone operators were introduced by Guo and Lakshmikantham [1].