Intuitionistic Fuzzy Pseudo-Normed Linear Spaces

2018 ◽  
Vol 15 (01) ◽  
pp. 113-127
Author(s):  
Bivas Dinda ◽  
Santanu Kumar Ghosh ◽  
T. K. Samanta
Keyword(s):  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Intuitionistic Fuzzy ◽  
Definition Of

We introduce the definition of intuitionistic fuzzy pseudo-norm and study some properties of convergence and [Formula: see text]-convergence in intuitionistic fuzzy pseudo-normed linear spaces.

New Fixed Point Theorems via Contraction Mappings in Complete Intuitionistic Fuzzy Normed Linear Space

2018 ◽  
Vol 15 (01) ◽  
pp. 65-83
Author(s):  
Nabanita Konwar ◽  
Ayhan Esi ◽  
Pradip Debnath
Keyword(s):  
Fixed Point ◽  
Mathematical Models ◽  
Linear Space ◽  
Fixed Point Theorems ◽  
Normed Linear Space ◽  
Existence Of A Solution ◽  
Linear Spaces ◽  
Contraction Mappings ◽  
Normed Linear Spaces ◽  
Intuitionistic Fuzzy

Contraction mappings provide us with one of the major sources of fixed point theorems. In many mathematical models, the existence of a solution may often be described by the existence of a fixed point for a suitable map. Therefore, study of such mappings and fixed point results becomes well motivated in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs) as well. In this paper, we define some new contraction mappings and establish fixed point theorems in a complete IFNLS. Our results unify and generalize several classical results existing in the literature.

scholarly journals Some Results on G-Normed Linear Spaces

2020 ◽  
Vol 55 (3) ◽  
Author(s):  
Maiada Nazar Mohammedali ◽  
Raghad Ibraham Sabri ◽  
Mohammed Rasheed ◽  
Suha Shihab
Keyword(s):  
Normed Space ◽  
Cartesian Product ◽  
Normed Spaces ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Definition Of

In the present work, our goal is to define the Cartesian product of two generalized normed spaces depending on the notion of generalized normed space. It is a background to state and prove that the Cartesian product of two complete generalized normed spaces is also a complete generalized normed space. Furthermore, the definition of the pseudo-generalized normed space is introduced and essential concepts related to this space are discussed and proved.

Generalized weighted statistical convergence in intuitionistic fuzzy normed linear spaces

2018 ◽  
Vol 27 (2) ◽  
pp. 101-110
Author(s):  
SELMA ALTUNDAG ◽  
◽  
ESRA KAMBER ◽  
Keyword(s):  
Statistical Convergence ◽  
Summability Method ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Intuitionistic Fuzzy ◽  
Convergence Type

In this paper, we introduce a new statistical convergence type, named weighted λ-statistical convergence to generalize the concept of weighted statistical convergence with respect to the intuitionistic fuzzy norm (µ, υ). Moreover, we establish its relation to weighted statistical convergence and a new summability method, named as Nλ, p -summability with respect to the intuitionistic fuzzy norm (µ, υ).

scholarly journals The Ck Space

2013 ◽  
Vol 21 (1) ◽  
pp. 25-31
Author(s):  
Katuhiko Kanazashi ◽  
Hiroyuki Okazaki ◽  
Yasunari Shidama
Keyword(s):  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Definition Of

Summary In this article, we formalize continuous differentiability of realvalued functions on n-dimensional real normed linear spaces. Next, we give a definition of the Ck space according to [23].

scholarly journals GATEAUX and FRÉCHET DERIVATIVE IN INTUITIONISTIC FUZZY NORMED LINEAR SPACES

2012 ◽  
Vol 08 (03) ◽  
pp. 311-322 ◽  
Author(s):  
BIVAS DINDA ◽  
T. K. SAMANTA ◽  
U. K. BERA
Keyword(s):  
Fréchet Derivative ◽  
Linear Spaces ◽  
Gâteaux Derivative ◽  
Frechet Derivative ◽  
Normed Linear Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Derivative ◽  
Gateaux Derivative

In this paper, we introduce intuitionistic fuzzy derivative, intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative and some of their properties are studied. The relations between intuitionistic fuzzy Gateaux derivative and intuitionistic fuzzy Fréchet derivative are studied.

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