Dr. Vahid Darvish
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Academic Career Length
13Years (2014-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications18 May 2015 in Linear and Multilinear Algebra
Journal Article
Let be a factor von Neumann algebra and be the *-Jordan derivation on , that is, for every , where , then is additive *-derivation.
1 February 2017 in Mathematica Slovaca
Journal Article
Let 𝒜 and ℬ be two primeC*-algebras. In this paper, we investigate the additivity of map Φ from 𝒜 onto ℬ that are bijective unital and satisfies Φ ( A P + λ P A ∗ ) = Φ ( A ) Φ ( P ) + λ Φ ( P ) Φ ( A ) ∗ , $$\Phi(AP+\lambda PA^{*})=\Phi(A)\Phi(P)+\lambda \Phi(P)\Phi(A)^{*}, $$ for allA∊ 𝒜 andP∊ {P1,I
1 January 2022 in Filomat
Journal Article
Let A be a prime *-algebra. In this paper, we suppose that ? : A ? A satisfies ?(A ? B) = ?(A) ? B + A ? ?(B) where A ? B = A*B + B*A for all A, B ? A. Then, ? is an additive *-derivation.
3 May 2022 in Numerical Functional Analysis and Optimization
Journal Article
HAH. A. Abass
H. A. Abass
GUG. C. Ugwunnadi
G. C. Ugwunnadi
ONOjen Kumar Narain
Ojen Kumar NarainVahid DarvishIn this paper, by employing a Bregman distance approach, we introduce a self-adaptive inertial extragradient method for finding a common solution of variational inequality problem involving a pseudo-monotone operator and fixed point problem of a Bregman demigeneralized mapping in a reflexive Banach spaces. Using a Bregman distance approach, we establish a strong convergence result for approximating the common solution of the aforementioned problems under some mild assumptions. We display some numerical examples to show the performance of our iterative method. The result presented in this paper extends and complements many related results in literature.
1 December 2018 in Rocky Mountain Journal of Mathematics
Journal Article
Project Euclid - mathematics and statistics online
1 July 2020 in Mathematical Notes
Journal Article
Let \(\mathcal{A}\) be a prime \(\ast\)-algebra. In this paper, assuming that \(\Phi:\mathcal{A}\to\mathcal{A}\) satisfies \(\Phi(A\diamond B \diamond C)=\Phi(A)\diamond B \diamond C+A\diamond\Phi(B) \diamond C+A \diamond B \diamond \Phi(C)\) where \(A\diamond B = A^{*}B + B^{*}A\) for all \(A,B\in\mathcal{A}\), we prove that \(\Phi\) is additive an \(\ast\)-derivation.
About Me
Dr. Vahid Darvish is an Associate Professor in the Department of Mathematics and Statistics at Nanjing University of Information Science and Technology (NUIST). He holds a Ph.D. in Mathematics from the University of Mazandaran. His research focuses on maps preserving problems, operator inequalities, variational inequalities, equilibrium problems, and optimization, with numerous publications in leading mathematical journals.
Dr. Darvish is a member of the National Elites Foundation and has been recognized for his academic excellence with multiple awards, including a fully funded research internship at Instituto de Matemática Pura e Aplicada (IMPA), research funding from the University of Applied Science Upper Austria, and selection for the Talented Young Scientist Program at NUIST. He also serves as an editor for several academic journals, contributing to the advancement of mathematical research. His work on algebraic structures and functional analysis has been widely recognized, furthering developments in operator theory and its applications.