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For a nonexpansive mapping, and, defines a contraction mapping.
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Let be a continuous monotone mapping and define for all.
Recently, Moudafi and Maingé [2] studied the VI (1.2) by regularizing the mapping and defined as the unique fixed point of the equation (1.3).
Let C be a nonempty, closed and convex set, let (T Cto H) be a mapping and define (h Ctomathbb{R}) as in (3).
Very recently, Lu et al. [3] studied the VI (1.2) by regularizing the mapping and defined as the unique fixed point of the equation (1.4).
In present paper we introduce the concept of a new g-monotone mapping and define the notions of n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric spaces.
Let T : C → C be a continuous pseudocontractive mapping and define an implicit iteration process { x n } by { x 0 ∈ C, x n = α n x n − 1 + ( 1 − α n ) T x n (1.3).
We define controlled assembly maps, which factorize the Baum Connes assembly maps, and define the controlled Baum Connes conjecture.
The brain processes three-dimensional space similar to how modern gaming cameras map and define the difference between the floor, a couch and a wall, for example.
We calculate gradient map of the classification probability map and define three gradient-based constraints to evaluate the global loss.
Let f : N → R n be a continuous map, and define f c = c M ∘ f ∘ c N − 1 : J n → R n.
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