On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals

Andres Jan; Rypka Miroslav

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On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals

机译：拓扑模糊不动点定理及其在非射流模糊分形中的应用

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摘要

A topological fuzzy fixed point theorem is given, when generalizing and improving the main result by Diamond, Kloeden and Pokrovskii (1997) [1]. Apart from the sole existence, a weak local stability property, called non-ejectivity in the sense of Browder, of fuzzy fixed points is established. This theorem is then applied for obtaining non-ejective fuzzy fractals. An alternative approach via the Knaster-Tarski theorem is also presented. (C) 2017 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2018年第1期|95-106|共12页
作者
Andres Jan; Rypka Miroslav;
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作者单位

Palacky Univ, Dept Math Anal & Applicat Math, Fac Sci, 17 Listopadu 12, Olomouc 77146, Czech Republic;

Palacky Univ, Dept Math Anal & Applicat Math, Fac Sci, 17 Listopadu 12, Olomouc 77146, Czech Republic;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy fixed points; Absolute retracts; Hilbert cube; Multivalued maps; Non-ejectivity; Fuzzy fractals;

机译：模糊不动点;绝对缩回;希尔伯特立方体;多值映射;非射性;模糊分形;

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专利

1. On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals Ⅱ [J] . Andres Jan, Rypka Miroslav Fuzzy sets and systems . 2019,第SEPa1期

机译：拓扑模糊不动点定理及其在非射流模糊分形中的应用Ⅱ
2. On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals Ⅱ [J] . Andres Jan, Rypka Miroslav Fuzzy sets and systems . 2019,第Sepa1期

机译：在拓扑模糊定点定理及其对非弹性模糊分形的应用Ⅱ
3. L-fuzzy Fixed Point Theorems for L-fuzzy Mappings via $β_{F_{L}}$ $eta _{F_{L}}$ -admissible with Applications [J] . Muhammad Sirajo Abdullahi, Akbar Azam Journal of Uncertainty Analysis and Applications . 2017,第1期

机译： L -fuzzy不动点定理，用于 L -fuzzy映射，通过 $βFL$ beta _ {F_ {L}} $ -适用于应用程序$
4. Topological Degree Theory and Fixed Point Theorems in Fuzzy Normed Space [C] . Ying Lu, Jian-zhong Xiao International conference on application of mathematics and physics;AMP2010 . 2010

机译：模糊赋范空间中的拓扑度理论和不动点定理
5. Applications of Contextual Fuzzy Operators and Fuzzy Extensions for Polymorphism, Data Mining and Analysis. [D] . McCarty, Kevin S. 2014

机译：上下文模糊算子和模糊扩展在多态，数据挖掘和分析中的应用。
6. L-Fuzzy Fixed Points Theorems for L-Fuzzy Mappings via βℱL-Admissible Pair [O] . Maliha Rashid, Akbar Azam, Nayyar Mehmood -1

机译：基于β的L-模糊映射的L-模糊不动点定理ℱL-可接纳对
7. -fuzzy Fixed Point Theorems for -fuzzy Mappings via -admissible with Applications [O] . 2017

机译：应用程序允许通过-fuzzy映射的-fuzzy不动点定理

On a topological fuzzy fixed point theorem and its application to non-ejective fuzzy fractals

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