scholarly journals Strategy of Fuzzy Mapping using Fixed Point Theorem

2019 ◽  
Vol 9 (1S6) ◽  
pp. 179-181
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Vector Space ◽  
Topological Vector Space ◽  
Point Theorem ◽  
Fuzzy Mapping ◽  
Parity Function ◽  
Mapping Process ◽  
The Fixed Point Theorem ◽  
Application Fields

To overcome the problems obtained due to non linearity, fixed point theorem. The main intent of this paper is to study the strategy of the fuzzy mapping using fixed point theorem. This fixed point theorem is mainly based on the topological vector space under the fixed selection. This fixed point theorem has convex structure which is in generalized way. This is used in various application fields. In this unity parity function is used to select the spaces available in fuzzy mapping process. The fixed point theorem using fuzzy mapping will improve and extend the classical results.

A NOTE ON FIXED POINT THEOREM FOR FUZZY MAPPINGS

2005 ◽  
Vol 13 (06) ◽  
pp. 613-617
Author(s):  
KANKANA CHAKRABARTY ◽  
SUDARSAN NANDA
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fuzzy Mapping ◽  
The Fixed Point Theorem

This paper explores Heilpern's notions of fuzzy mapping and the fixed point theorem for fuzzy mappings. The fixed point theorem for fuzzy mappings as introduced by Heilpern has been generalized and some characterizations are done in this context.

scholarly journals Fixed-Point Theory on a Frechet Topological Vector Space

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Afif Ben Amar ◽  
Mohamed Amine Cherif ◽  
Maher Mnif
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Vector Space ◽  
Topological Vector Space ◽  
Point Theorem ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Weakly Compact ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Continuous Map

We establish some versions of fixed-point theorem in a Frechet topological vector spaceE. The main result is that every mapA=BC(whereBis a continuous map andCis a continuous linear weakly compact operator) from a closed convex subset of a Frechet topological vector space having the Dunford-Pettis property into itself has fixed-point. Based on this result, we present two versions of the Krasnoselskii fixed-point theorem. Our first result extend the well-known Krasnoselskii's fixed-point theorem forU-contractions and weakly compact mappings, while the second one, by assuming that the family{T(⋅,y):y∈C(M)whereM⊂EandC:M→Ea compactoperator}is nonlinearφequicontractive, we give a fixed-point theorem for the operator of the formEx:=T(x,C(x)).

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 A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

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 On some theorems of Tarafdar

1976 ◽  
Vol 15 (2) ◽  
pp. 213-221
Author(s):  
S.A. Husain ◽  
V.M. Sehgal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Vector Space ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Locally Convex ◽  
Common Fixed Point Theorem

In a recent paper (Bull. Austral. Math. Soc. 13 (1975), 241–245), Tarafdar has considered nonexpansive self mappings on a subset X of a locally convex vector space E and proved an extension to E of a theorem of Göhde. The purpose of this paper is to show that the condition f: X → X, in Göhde-Tarafdar's Theorem in the above paper, may be weakened to f: X → E with f(∂X) ⊆ X. As a consequence, it is further shown that an extension to E of a well-known common fixed point theorem of Belluce and Kirk due to Tarafdar remains true on domains that are not necessarily bounded or quasi-complete.

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.

Sign in / Sign up

Export Citation Format

Share Document