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Browsing by Author "Kalsoom, Amna"

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    Article
    Citation Count: Saleem, Naeem;...et.al. (2022). "Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space", Journal of Function Spaces, Vol.2022, pp.1-10.
    Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
    (2022) Saleem, Naeem; Rashid, Maliha; Jarad, Fahd; Kalsoom, Amna; 234808
    n this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.
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    Article
    Citation Count: Rashid, Maliha;...et.al. (2022). "Mellin transform for fractional integrals with general analytic kernel", AIMS Mathematics, Vol.7, No.5, pp.9443-9462.
    Mellin transform for fractional integrals with general analytic kernel
    (2022) Rashid, Maliha; Kalsoom, Amna; Sager, Maria; Inc, Mustafa; Baleanu, Dumitru; Alshomrani, Ali S.; 56389
    Many different operators of fractional calculus have been proposed, which can be organized in some general classes of operators. According to this study, the class of fractional integrals and derivatives can be classified into two main categories, that is, with and without general analytical kernel (introduced in 2019). In this article, we define the Mellin transform for fractional differential operator with general analytic kernel in both Riemann-Liouville and Caputo derivatives of order ς ≥ 0 and ϱ be a fixed parameter. We will also establish relation between Mellin transform with Laplace and Fourier transforms.
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    Article
    Citation Count: Rashid, Maliha...et al. (2020). "Multidimensional fixed points in generalized distance spaces", ADVANCES IN DIFFERENCE EQUATIONS, Vol. 2020, No. 1.
    Multidimensional fixed points in generalized distance spaces
    (2020) Rashid, Maliha; Bibi, Rabia; Kalsoom, Amna; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; 56389
    The main aim of this paper is to study distance spaces, to provide some useful remarks with examples regarding distance spaces, and to establish multiple fixed point results for aC-distance space in the presence of different contractive conditions. This concept allows us to reduce the multidimensional case to a one-dimensional case.