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In a companion paper, two semitone (Smt) frequency mappings were proposed to improve melody representation with CI patients [2].
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In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of uniformly quasi-ϕ-asymptotically nonexpansive and locally uniformly Lipschitz continuous or uniformly Hölder continuous mappings are proposed.
In addition, bit mappings similar to Gray mapping are proposed for SCC.
Several covenants were proposed.
In this article, based on Marino and Xu's method, an iterative method which combines the regularized gradient-projection algorithm (RGPA) and the averaged mappings approach is proposed for finding a common solution of equilibrium and constrained convex minimization problems.
However, several other different mappings have been proposed (Akhtar et al., 2007; Anastassiou, 2001; Brodzik and Peters, 2005; Buldyrev et al., 1995; Cristea, 2003; Jeffrey, 1990; Liao et al., 2005; Nair and Mahalakshmi, 2005; Ning et al., 2003; Randic, 2008; Silverman and Linsker, 1986; Zhang and Zhang, 1994).
More recently, the existence and uniqueness of best proximity points of more general cyclic contractions have been investigated in [29, 30] and a study of best proximity points for generalized proximal contractions, a concept referred to non-self-mappings, has been proposed and reported in detail in [31].
For this purpose new contraction types of mappings with altering distances are proposed.
Several solutions to reduce light variances of face images are proposed: Mapping face images into the same intensity distribution by simple preprocessing such as histogram specification.
The convergence analysis of a variable KM-like method for approximating common fixed points of a possibly infinitely countable family of nonexpansive mappings in a Hilbert space is proposed and proved to be strongly convergent to a common fixed point of a family of nonexpansive mappings.
Scalar minimax theorems and set minimax theorems for non-continuous set-valued mappings were first proposed by Lin et al. [1].
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