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All adaptive grid generators are a subclass of a more general iterative map.
Question 3 Can we extend the iterative scheme of algorithm (1.8) to a more general iterative scheme?
Furthermore, more general iterative algorithms can be considered, which communicate only neighbor pixels in the image, such as GBP typical cut [18].
It is our purpose in this paper that we will extend the above iterative processes to the more general iterative processes and give a sufficient and necessary condition for two asymptotically quasi-nonexpasnive mapping in the intermediate sense.
In this paper, we will introduce a more general iterative method for SEVIP (8) and a fixed point problem, which is defined in the following way: left { textstylebegin{array}l} v_{n}= J_{u_{n}}^{(U,K)} I-gamma G^G)w_{n} I-gammaalpha_{n}siG^G w(w_{n})+(I-alpha_{n}D)S_{n}v_{n}, end{array}displaystyle right.
In 2009, Saeidi [26] introduced a more general iterative algorithm for finding a common element of the set of solution for a system of equilibrium problems and the set of common fixed points for a finite family of nonexpansive mappings and a nonexpansive semigroup.
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We study the convergence of a more general Picard iterative sequence for nonexpansive and Lipschitz strongly accretive mappings in an arbitrary real Banach space.
Very recently, Zhang and Yang [14] studied the more general explicit iterative algorithm u_{k+1}=a_{k}c g u_{k})+ I-mu a_{k}F)S^{k}_{p}S^{k}_{p-1} cdots S^{k}_{1}u_{k}, (1.8) where g is an α-Lipschitzian, F is an η-strongly monotone and L-Lipschitz continuous mapping and (S^{k}_{i}=(1-b^{i}_{k})u_{k}+ I-mu_{k}S^{i}) for (1leq ileq p).
However, the whole viscosity iteration is much more general than the iterative equation (2.1).
Furthermore, a more general and unified iterative algorithm called the Mann perturbed iterative algorithm with mixed errors is constructed as well in Hilbert spaces.
(2.4). is called the more general modified Mann iterative sequence.
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