Weighted distances based on neighborhood sequences for point-lattices

Iterative scheme based on boundary point method for common fixed‎ ‎point of strongly nonexpansive sequences

Let $C$ be a nonempty closed convex subset of a real Hilbert space $H$. Let ${S_n}$ and ${T_n}$ be sequences of nonexpansive self-mappings of $C$, where one of them is a strongly nonexpansive sequence. K. Aoyama and Y. Kimura introduced the iteration process $x_{n+1}=beta_nx_n+(1-beta_n)S_n(alpha_nu+(1-alpha_n)T_nx_n)$ for finding the common fixed point of ${S_n}$ and ${T_n}$, where $uin C$ is ...

another method for defuzzification based on regular weighted point

another method for defuzzification based on regular weighted point

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Point lattices and oscillating recurrence sequences

We consider the following question: Which real sequences (a(n)) that satisfy a linear recurrence with constant coefficients are positive for sufficiently large n? We show that the answer is negative for both (a(n)) and (−a(n)), if the dominating characteristic roots in the representation of a(n) as a generalized power sum comprise either two pairs of conjugate complex roots or one negative real...

Weighted Distances Based on Neighbourhood Sequences in Non-standard Three-Dimensional Grids

By combining weighted distances and distances based on neighbourhood sequences, a new family of distance functions with potentially low rotational dependency is obtained. The basic theory for these distance functions, including functional form of the distance between two points, is presented for the face-centered cubic grid and the body-centered cubic grid. By minimizing an error function, the ...