Sentence examples for using a resolvent operator from inspiring English sources

Dong et al. [4] analyzed the solution's sensitivity for variational inequalities and variational inclusions by using a resolvent operator technique.

There exists a resolvent operator (R t,s)) for equation (5.1).

By a resolvent operator, we mean the definition as follows.

The function is a resolvent operator for the system (3.1).

(a) There exists a resolvent operator (R t, s)) for problem (5.7 - 5.8 5.7 - 5.8

As a consequence, there exists a resolvent operator (R cdot)) defined on Δ.

By using the resolvent operator associated with an ( α A, λ ) -weak-ANODD set-valued manding and fixed point theory, an existence theorem of solutions and an approximation algorithm for this kind of inclusions are established and discussed in ordered Banach spaces, and the relation between the first-valued point x 0 and the solution of the problems is shown.

They also studied a class of variational inclusions using the resolvent operator associated with ( A, η ) -accretive mappings.

Using the resolvent operator technique and a new analytic technique, some existence theorems and iterative approximation techniques are presented for these fuzzy multivalued variational inclusions.

By using the resolvent operator associated with an R M E set-valued mapping, the author introduced and studied a class of nonlinear inclusion problems for ordered MR set-valued mappings and the existence theorem of solutions and an approximation algorithm for this kind of nonlinear inclusion problems for ordered extended set-valued mappings in ordered Hilbert spaces [6].

In 2008, Li [11] studied the existence of solutions and the stability of a perturbed Ishikawa iterative algorithm for nonlinear mixed quasi-variational inclusions involving ( A, η ) -accretive mappings in Banach spaces by using the resolvent operator technique.