2024-03-29T01:29:04Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=34266
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space
Bivas
Dinda
Santanu
Ghosh
Tapas
Samanta
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS). It is done by studying regular value, resolvent set, spectrum of a linear operator in IFPNLS. Also, some properties of spectrum and resolvent of strongly intuitionistic fuzzy bounded(IFB) linear operators in IFPNLS are being developed. It is observed that, for a linear operator $P$ in an IFPNLS, the resolvent set $\rho(P)$ and spectrum $\sigma(P)$ are nonempty, $\rho(P)$ is open and $\sigma(P)$ is closed set.
Intuitionistic fuzzy pseudo norm
Resolvent
Spectrum
Strongly intuitionistic fuzzy bounded linear operator
Pseudo norm
2022
02
01
1
13
https://scma.maragheh.ac.ir/article_248115_9c4220c7962c7545aa03eac8c587c77f.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
A New Three-Step Mixed-Type Implicit Iterative Scheme with Errors for Common Fixed Points of Nonexpansive and Uniformly $L$--Lipschitzian Asymptotically Generalized $\Phi$-Hemicontractive Mappings
Austine
Ofem
Donatus
Igbokwe
In this paper, we introduce a three-step implicit iteration scheme with errors for finite families of nonexpansive and uniformly $L$-Lipschitzian asymptotically generalized $\Phi$-hemicontractive mappings in real Banach spaces. Our new implicit iterative scheme properly includes several well known iterative schemes in the literature as its special cases. The results presented in this paper extend, generalize and improve well known results in the existing literature.
Fixed point
Nonexpasive mapping
Uniformly $L$--Lipschitzian asymptotically generalized $Phi$-Hemicontractive mapping
strong convergence
Banach spaces
Normalized duality mapping
2022
02
01
15
40
https://scma.maragheh.ac.ir/article_248906_f221a5bdef500a8412d490ed860e5f7d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
New Integral Inequalities Relating to a General Integral Operators Through Monotone Functions
Bouharket
Benaissa
Abdelkader
Senouci
Weighted integral inequalities for general integral operators on monotone positive functions with parameters $p$ and $q$ are established in [4]. The aim of this work is to extend the results to different cases of these parameters, in particular for negative $p$ and $q$. We give some new lemmas which will be frequently used in the proofs of the main theorems.
General integral operator
Weighted inequalities
Monotone functions
Absolutely continuous
2022
02
01
41
56
https://scma.maragheh.ac.ir/article_248908_c71459478de6b05d35d315afdf30b0fd.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
The Operators' Theorems on Fuzzy Topological Spaces
Morteza
Saheli
Seyed Ali Mohammad
Mohsenialhosseini
Hadi
Saeidi Goraghani
Three types of fuzzy topologies defined on fuzzy normed linear spaces are considered in this paper. First, the relationshipbetween fuzzy continuity of linear operators and fuzzy boundedness is investigated. The uniform boundedness theorem is then discussed, so too is the norm of a linear operator. Finally, the open mapping theorem is proved for each of the three defined fuzzy topologies, and the closed graph theorem is studied.
Fuzzy norm
Fuzzy topology
Fuzzy boundedness
Fuzzy continuity
2022
02
01
57
76
https://scma.maragheh.ac.ir/article_248910_bb60da7fe1faac46d376a3f7119556fd.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
Some Results on Cesàro summability in Intuitionistic Fuzzy $n$-normed linear Spaces
Pradip
Debnath
The concept of summability plays a central role in finding formal solutions of partial differential equations. In this paper, we introduce the concept of Cesàro summability in an intuitionistic fuzzy $n$-normed linear space (IFnNLS). We show that Cesàro summability method is regular in an IFnNLS, but Cesàro summability does not imply usual convergence in general. Further, we search for additional conditions under which the converse holds.
Intuitionistic fuzzy $n$-normed linear space
Ces`{a}ro summability
Tauberian theorem
2022
02
01
77
87
https://scma.maragheh.ac.ir/article_248968_7ea9c44f0654c01e7983143d67b80b12.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
Categorical Properties of Down Closed Embeddings
Leila
Shahbaz
Let $\mathcal M$ be a class of (mono)morphisms in a category $\mathcal A$. To study mathematical notions, such as injectivity, tensor products, flatness, one needs to have some categorical and algebraic information about the pair (${\mathcal A}$,${\mathcal M}$).In this paper, we take $\mathcal A$ to be the category {\bf Pos}-$S$ of $S$-posets over a posemigroup $S$, and ${\mathcal M}_{dc}$ to be the class of down closed embeddings and study the categorical properties, such as limits and colimits, of the pair (${\mathcal A}$,${\mathcal M}$). Injectivity with respect to this class of monomorphisms have been studied by Shahbaz et al., who used it to obtain information about regular injectivity.
S-poset
Down closed embeddings
dc-embeddings
Limit
Colimit
2022
02
01
89
99
https://scma.maragheh.ac.ir/article_249406_3d57569204846263835eb8b5bf190414.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
L$_p$-C$^*$-Semi-Inner Product Spaces
Zakiye
Khalili
Alireza
Janfada
Mohammad Reza
Miri
Mohsen
Niazi
This article introduces the notion of L$_p$-C$^*$-semi-inner product space, a generalization of the concept of C$^*$-semi-inner product space introduced by Gamchi et al., where we consider H\"{o}lder's inequality instead of Cauchy Schwartz' inequality. We establish some basic results L$_p$-C$^*$-semi-inner product spaces, analogous to those valid for C$^*$-semi-inner product spaces and Hilbert C$^*$-modules.
Hilbert C$^*$-module
Semi-inner product
derivation
Anti-Derivation
2022
02
01
101
117
https://scma.maragheh.ac.ir/article_249417_5b0ef11400191836daa3c4b5bc34b439.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
Positivity of Integrals for Higher Order $\nabla-$Convex and Completely Monotonic Functions
Faraz
Mehmood
Asif
Khan
Muhammad
Adnan
We extend the definitions of $\nabla-$convex and completely monotonic functions for two variables. Some general identities of Popoviciu type integrals $\int P(y)f(y) dy$ and $\int \int P(y,z) f(y,z) dy dz$ are deduced. Using obtained identities, positivity of these expressions are characterized for higher order $\nabla-$convex and completely monotonic functions. Some applications in terms of generalized Cauchy means and exponential convexity are given.
Convex functions
$nabla-$convex functions
completely monotonic functions
2022
02
01
119
137
https://scma.maragheh.ac.ir/article_249585_172a7aeb2e4fe6ea55ee687557aa2805.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2022
19
1
Study on Some Integral Inequalities for Pseudo-Integrals
Bayaz
Daraby
In this paper, we express and prove Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a monotone and continuous function $g$. The other one concerns the pseudo-integrals based on a semiring $( [a, b], \max, \odot )$, where $\odot$ is generated. The integral inequalities are appling in multivariate approximation theory and probability theory and etc.
Carlson-type inequality
Sugeno integral
Fuzzy measure
Comonotone functions
Fuzzy integral inequality
2022
02
01
139
159
https://scma.maragheh.ac.ir/article_253926_36aef141907c9db00b5142f1c944d458.pdf