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Furthermore, pseudocontractive mappings are related with the important class of nonlinear monotone mappings, where a mapping A with domain D ( A ) and range R ( A ) in H is called monotone if the inequality 〈 x − y, A x − A y 〉 ≥ 0, (1.6).
Interest in pseudocontractive mappings stems mainly from their firm connection with the important class of nonlinear monotone mappings, where a mapping A with domain (D(A) ) and range (R(A) ) in H is called monotone if langle Ax-Ay,x-yranglegeq0, quadforall x, y in D(A).
It is well known that there exists a close connection between pseudocontractions and the important class of nonlinear monotone mappings, where a mapping A with domain D ( A ) and range R ( A ) in H is called monotone if 〈 A x − A y, x − y 〉 ≥ 0, ∀ x, y ∈ D ( A ).
In this paper, we study optimal and balanced mappings for accessing path and subtree templates of trees, where a mapping will be called optimal if it allows conflict-free access to templates with as few memory banks as possible.
where a mapping satisfies the condition.
where a mapping T is defined by (12).
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