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Intuitionistic Fuzzy Approximately Additive Mappings

2011
In this paper, we investigate the generalized Hyers–Ulam stability and the intuitionistic fuzzy continuity of the generalized additive functional equation $$\begin{array}{rcl} & & {2}^{n-1}\;{a}_{ 1}f({x}_{1}) = f\bigg{(}\sum\limits_{i=1}^{n}{a}_{ i}{x}_{i}\bigg{)} \\ & & \quad +\sum\limits_{k=2}^{n}\ \sum\limits_{{i}_{1}=2}^{k}\ \sum\limits_{{i}_ ...
M. Eshaghi-Gordji   +3 more
openaire   +1 more source

Almost Approximately Additive Mappings

1983
Answering a question of L. Reich, we here present two results about the behavior of functions satisfying the approximate additivity inequality almost everywhere with respect to an axiomatically given family of “small” (“negligible”) sets.
openaire   +1 more source

Approximate norm‐additive maps on Banach spaces

Bulletin of the London Mathematical Society
AbstractLet be two Banach spaces, be an ‐norm‐additive map for some , that is, In this paper, we prove that if is surjective with , then there exists a linear surjective isometry such that The estimate is sharp. We also approximate standard surjective ‐norm‐additive maps between the positive cones of continuous function spaces by linear isometries
Longfa Sun, Gang Cai, Bentuo Zheng
openaire   +2 more sources

In-situ full-field mapping of melt flow dynamics in laser metal additive manufacturing

Additive Manufacturing, 2020
Qilin Guo, Cang Zhao, Minglei Qu
exaly  

Lymphatic Mapping and Sentinel Node Analysis: Current Concepts and Applications

Ca-A Cancer Journal for Clinicians, 2006
Anton J Bilchik
exaly  

Computational design and additive manufacturing of periodic conformal metasurfaces by synthesizing topology optimization with conformal mapping

Computer Methods in Applied Mechanics and Engineering, 2018
Panagiotis Vogiatzis   +2 more
exaly  

A framework for mapping design for additive manufacturing knowledge for industrial and product design

Journal of Engineering Design, 2018
Patrick Pradel   +2 more
exaly  

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