scholarly journals On the Operation ∆ over Intuitionistic Fuzzy Sets

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1518
Author(s):  
Lilija Atanassova ◽  
Piotr Dworniczak
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fuzzy Sets ◽  
Point Theorem ◽  
Intuitionistic Fuzzy Sets ◽  
Geometrical Interpretation ◽  
The Other ◽  
Modal Operators ◽  
Intuitionistic Fuzzy ◽  
The Fixed Point Theorem

Recently, the new operation ∆ was introduced over intuitionistic fuzzy sets and some of its properties were studied. Here, new additional properties of this operations are formulated and checked, providing an analogue to the De Morgan’s Law (Theorem 1), an analogue of the Fixed Point Theorem (Theorem 2), the connections between the operation ∆ on one hand and the classical modal operators over IFS Necessity and Possibility, on the other (Theorems 3 and 4). It is shown that it can be used for a de-i-fuzzification. A geometrical interpretation of the process of constructing the operator ∆ is given.

scholarly journals Fixed point theorem for compatible mappings in intuitionistic fuzzy 3-metric spaces

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 371-376
Author(s):  
Hassan Abu-Donia ◽  
Hany Atia ◽  
Omnia Khater
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Main Idea ◽  
Intuitionistic Fuzzy ◽  
Uniqueness And Existence ◽  
The Fixed Point Theorem ◽  
Asymptotically Regular

In this paper, we introduced the concept of weak compatible of type (?) and asymptotically regular defined on intuitionistic fuzzy 3-metric space and proved the uniqueness and existence the fixed point theorem for five mappings from a complete intuitionistic fuzzy 3-metric space into itself under weak compatible of type (?) and asymptotically regular. The used definitions and theorem show the practice of our main idea.

scholarly journals Fixed point theorem for compatible mappings in intuitionistic fuzzy 3-metric spaces

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 371-376
Author(s):  
Hassan Abu-Donia ◽  
Hany Atia ◽  
Omnia Khater
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Main Idea ◽  
Intuitionistic Fuzzy ◽  
Uniqueness And Existence ◽  
The Fixed Point Theorem ◽  
Asymptotically Regular

In this paper, we introduced the concept of weak compatible of type (?) and asymptotically regular defined on intuitionistic fuzzy 3-metric space and proved the uniqueness and existence the fixed point theorem for five mappings from a complete intuitionistic fuzzy 3-metric space into itself under weak compatible of type (?) and asymptotically regular. The used definitions and theorem show the practice of our main idea.

scholarly journals Existence of Positive Periodic Solutions for a Class ofn-Species Competition Systems with Impulses

2011 ◽  
Vol 2011 ◽  
pp. 1-9
Author(s):  
Peilian Guo ◽  
Yansheng Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Sufficient Conditions ◽  
Species Competition ◽  
Positive Periodic Solutions ◽  
The Fixed Point Theorem

By using the fixed point theorem on cone, some sufficient conditions are obtained on the existence of positive periodic solutions for a class ofn-species competition systems with impulses. Meanwhile, we point out that the conclusion of (Yan, 2009) is incorrect.

Self‐defeating predictions and the fixed‐point theorem: A refutation

Inquiry ◽  
1982 ◽  
Vol 25 (3) ◽  
pp. 331-352 ◽  
Author(s):  
Audun Øfsti ◽  
Dag Østerberg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
The Fixed Point Theorem

scholarly journals The Impulsive Neutral Integro-Differential Equations with Infinite Delay and Non-Instantaneous Impulses

2018 ◽  
Vol 7 (4.10) ◽  
pp. 694
Author(s):  
V. Usha ◽  
M. Mallika Arjunan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Banach Spaces ◽  
Point Theorem ◽  
Infinite Delay ◽  
Semigroup Theory ◽  
Existence Results ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
The Fixed Point Theorem

In this manuscript, we work to accomplish the Krasnoselskii's fixed point theorem to analyze the existence results for an impulsive neutral integro-differential equations  with infinite delay and non-instantaneous impulses in Banach spaces. By deploying the fixed point theorem with semigroup theory, we developed the coveted outcomes.   

scholarly journals A fixed point theorem in H-space and related results

1990 ◽  
Vol 42 (1) ◽  
pp. 133-140 ◽  
Author(s):  
E. Tarafdar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Minimax Inequalities ◽  
The Fixed Point Theorem

The equivalence of a fixed point theorem and the Fan-Knaster-Kuratowski-Mazurkiewicz theorem in H-space has been established. The fixed point theorem is then applied to obtain a theorem on sets with H-convex sections, and also results on minimax inequalities.

scholarly journals Existence Results for a Nonlinear Semipositone Telegraph System with Repulsive Weak Singular Forces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Fanglei Wang ◽  
Yunhai Wang ◽  
Yukun An
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Point Theorem ◽  
Existence Results ◽  
The Fixed Point Theorem

Using the fixed point theorem of cone expansion/compression, we consider the existence results of positive solutions for a nonlinear semipositone telegraph system with repulsive weak singular forces.

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