@article {
author = {Mohammed, Shehu Shagari and Fulatan, Ibrahim and Sirajo, Yahaya},
title = {Fixed Points of $p$-Hybrid $L$-Fuzzy Contractions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {1-25},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.137899.863},
abstract = {In this paper, the notion of $p$-hybrid $L$-fuzzy contractions in the framework of $b$-metric space is introduced. Sufficient conditions for existence of common $L$-fuzzy fixed points under such contractions are also investigated. The established ideas are generalizations of many concepts in fuzzy mathematics. In the case where our postulates are reduced to their classical variants, the concept presented herein merges and extends several significant and well-known fixed point theorems in the setting of both single-valued and multi-valued mappings in the corresponding literature of discrete and computational mathematics. A few of these special cases are pointed out and discussed. In support of our main hypotheses, a nontrivial example is provided.},
keywords = {$b$-metric space,$L$-fuzzy set, $L$-fuzzy fixed point, $p$-hybrid $L$-fuzzy contraction, $L$-fuzzy set-valued map},
url = {https://scma.maragheh.ac.ir/article_244325.html},
eprint = {https://scma.maragheh.ac.ir/article_244325_c648b927000c502ab11bf1a0d23c5719.pdf}
}
@article {
author = {Khurana, Deeplai and Garg, Raj and Verma, Sarika and Murugusundaramoorthy, Gangadharan},
title = {A Generalized Class of Univalent Harmonic Functions Associated with a Multiplier Transformation},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {27-39},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.132155.841},
abstract = {We define a new subclass of univalent harmonic mappings using multiplier transformation and investigate various properties like necessary and sufficient conditions, extreme points, starlikeness, radius of convexity. We prove that the class is closed under harmonic convolutions and convex combinations. Finally, we show that this class is invariant under Bernandi-Libera-Livingston integral for harmonic functions.},
keywords = {Harmonic mapping,Convolution,Bernardi operator,Coefficient conditions,Extreme points},
url = {https://scma.maragheh.ac.ir/article_244326.html},
eprint = {https://scma.maragheh.ac.ir/article_244326_f0cd2e036d7c32a04d70ef058590514a.pdf}
}
@article {
author = {Eftekhari, Noha and Bayati Eshkaftaki, Ali},
title = {On Some Linear Operators Preserving Disjoint Support Property},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {41-49},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.115697.690},
abstract = {The aim of this work is to characterize all bounded linear operators $T:\lpi\rightarrow\lpi$ which preserve disjoint support property. We show that the constant coefficients of all isometries on $\lpi$ are in the class of such operators, where $2\neq p\in [1,\infty )$ and $I$ is a non-empty set. We extend preserving disjoint support property to linear operators on $\mathfrak{c}_{0}(I).$ At the end, we obtain some equivalent properties of isometries on Banach spaces.},
keywords = {Disjoint support,Codomain,Linear preserver,Isometry},
url = {https://scma.maragheh.ac.ir/article_244939.html},
eprint = {https://scma.maragheh.ac.ir/article_244939_078140515abfaf77ad6892470871daab.pdf}
}
@article {
author = {Zamani, Majid and Vaezpour, S. Mansour and Salavati, Erfan},
title = {Existence and Uniqueness for a Class of SPDEs Driven by L\'{e}vy Noise in Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {51-68},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.520720.884},
abstract = {The present paper seeks to prove the existence and uniqueness of solutions to stochastic evolution equations in Hilbert spaces driven by both Poisson random measure and Wiener process with non-Lipschitz drift term. The proof is provided by the theory of measure of noncompactness and condensing operators. Moreover, we give some examples to illustrate the application of our main theorem.},
keywords = {Poisson random measure,Mild solution,Measure of noncompactness,Condensing operator},
url = {https://scma.maragheh.ac.ir/article_244940.html},
eprint = {https://scma.maragheh.ac.ir/article_244940_8c8f8936b05d0b4c9c5d9997e0ab6315.pdf}
}
@article {
author = {Elgourari, Aiad and Ghanmi, Allal and Souid El Ainin, Mohammed},
title = {Bicomplex Frames},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {69-89},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.140216.875},
abstract = {We define in a natural way the bicomplex analog of the frames (bc-frames) in the setting of bicomplex infinite Hilbert spaces, and we characterize them in terms of their idempotent components. We also extend some classical results from frames theory to bc-frames and show that some of them do not remain valid for bc-frames in general. The construction of bc-frame operators and Weyl--Heisenberg bc-frames are also discussed.},
keywords = {Bicomplex,bc-frames,bc-frame operator,Weyl-Heisenberg bc-frame},
url = {https://scma.maragheh.ac.ir/article_244941.html},
eprint = {https://scma.maragheh.ac.ir/article_244941_12e27b6ba8b0f892ded6d40c0202430a.pdf}
}
@article {
author = {Labrigui, Hatim and Kabbaj, Samir},
title = {Integral $K$-Operator Frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {91-107},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.140176.874},
abstract = {In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{\ast}$-module $\mathcal{H}$ to itself denoted by $End_{\mathcal{A}}^{\ast}(\mathcal{H}) $. We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving integral $K$-operator frame and we establish some new results.},
keywords = {$K$-frames,integral $K$-operator frames,$C^{ast}$-algebra,Hilbert $mathcal{A}$-module},
url = {https://scma.maragheh.ac.ir/article_245093.html},
eprint = {https://scma.maragheh.ac.ir/article_245093_328f82d1d9d00776e4eca7e437e23d98.pdf}
}
@article {
author = {El-Sayed, Ahmed and Hashem, Hind and Al-Issa, Shorouk},
title = {Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {109-131},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.120867.876},
abstract = {In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved.},
keywords = {Hybrid differential equations,Quadratic differential equation,Dhage hybrid fixed point theorem,Banach algebra},
url = {https://scma.maragheh.ac.ir/article_245096.html},
eprint = {https://scma.maragheh.ac.ir/article_245096_18eedb65927f53de7073ff3350f15538.pdf}
}
@article {
author = {Mohammadrezaee, Maryam and Rashidi-Kouchi, Mehdi and Nazari, Akbar and Oloomi, Ali},
title = {Woven g-Fusion Frames in Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {3},
pages = {133-151},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2021.137940.870},
abstract = {In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.},
keywords = {Frame,G-fusion Frame,Woven frame,Weaving g-fusion frame,Perturbation},
url = {https://scma.maragheh.ac.ir/article_245656.html},
eprint = {https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdf}
}