• Inductive algebras for compact groups 

  Sharma, Promod; Vemuri, M.K. (John Wiley and Sons Inc, 2023-12)

  Inductive algebras for a compact group are self-adjoint.
• Existence of ground state solutions for a Choquard double phase problem 

  Arora, Rakesh; Fiscella, Alessio; Mukherjee, Tuhina; Winkert, Patrick (Elsevier Ltd, 2023-04-25)

  In this paper we study quasilinear elliptic equations driven by the double phase operator involving a Choquard term of the form [Formula presented] where Lp,qa is the double phase operator given by Lp,qa(u)≔div(|∇u|p−2∇u ...
• Relative connections on principal bundles and relative equivariant structures 

  Poddar, Mainak; Singh, Anoop (Elsevier B.V., 2023-06-28)

  We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic ...
• High-order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations 

  Singh, Anshima; Kumar, Sunil; Vigo-Aguiar, Jesus (John Wiley and Sons Ltd, 2023-11-15)

  In this manuscript, we develop and analyze two high-order schemes, CFD (Figure presented.) and PQS (Figure presented.), for generalized variable coefficients fractional reaction–diffusion equations. The generalized fractional ...
• Reverse Faber-Krahn inequality for the p-Laplacian in hyperbolic space 

  Ghosh, Mrityunjoy; Verma, Sheela (Academic Press Inc., 2023-11-01)

  In this paper, we study the shape optimization problem for the first eigenvalue of the p-Laplace operator with the mixed Neumann-Dirichlet boundary conditions on multiply-connected domains in hyperbolic space. Precisely, ...
• NEWTON'S METHOD FOR UNCERTAIN MULTIOBJECTIVE OPTIMIZATION PROBLEMS UNDER FINITE UNCERTAINTY SETS 

  Kumar, Shubham; Ansary, Md Abu Talhamainuddin; Mahato, Nihar Kumar; Ghosh, Debdas; Shehu, Yekini (Biemdas Academic Publishers, 2023-10-01)

  In this paper, we develop Newton's method for robust counterpart of an uncertain multiobjective optimization problem under an arbitrary finite uncertainty nonempty set. Here the robust counterpart of an uncertain multiobjective ...
• FREĆHET SUBDIFFERENTIAL CALCULUS FOR INTERVAL-VALUED FUNCTIONS AND ITS APPLICATIONS IN NONSMOOTH INTERVAL OPTIMIZATION 

  Kumar, Gourav; Yao, Jen-Chih (Biemdas Academic Publishers, 2023-10-01)

  To deal with nondifferentiable interval-valued functions (IVFs) (not necessarily convex), we present the notion of Fréchet subdifferentiability or gH-Fréchet subdifferentiability. We explore its relationship with ...
• An infeasible interior-point technique to generate the nondominated set for multiobjective optimization problems 

  Jauny; Ghosh, Debdas; Ansari, Qamrul Hasan; Ehrgott, Matthias; Upadhayay, Ashutosh (Elsevier Ltd, 2023-03-31)

  In this paper, an infeasible interior-point technique is proposed to generate the nondominated set of nonlinear multi-objective optimization problems with the help of the direction-based cone method. We derive the proposed ...
• Asymptotics and sign patterns for coefficients in expansions of Habiro elements 

  Goswami, Ankush; Jha, Abhash Kumar; Kim, Byungchan; Osburn, Robert (Springer Science and Business Media Deutschland GmbH, 2023-07-10)

  We prove asymptotics and study sign patterns for coefficients in expansions of elements in the Habiro ring which satisfy a strange identity. As an application, we prove asymptotics and discuss positivity for the generalized ...
• High-Order Approximation to Generalized Caputo Derivatives and Generalized Fractional Advection–Diffusion Equations 

  Kumari, Sarita; Pandey, Rajesh K.; Agarwal, Ravi P. (MDPI, 2023-02-28)

  In this article, a high-order time-stepping scheme based on the cubic interpolation formula is considered to approximate the generalized Caputo fractional derivative (GCFD). Convergence order for this scheme is (Formula ...
• Existence and global second-order regularity for anisotropic parabolic equations with variable growth 

  Arora, Rakesh (Academic Press Inc., 2022-12-21)

  We consider the homogeneous Dirichlet problem for the anisotropic parabolic equation ut−∑i=1NDx(|Dxu|pDxu)=f(x,t) in the cylinder Ω×(0,T), where Ω⊂RN, N≥2, is a parallelepiped. The exponents of nonlinearity pi are given ...
• Ekeland’s variational principle for interval-valued functions 

  Kumar, Gourav; Ghosh, Debdas (Springer Nature, 2023-01-02)

  In this paper, we attempt to propose Ekeland’s variational principle for interval-valued functions (IVFs). To develop the variational principle, we study a concept of sequence of intervals. In the sequel, the idea of ...
• On the relative logarithmic connections and relative residue formula 

  Misra, Snehajit; Singh, Anoop (Taylor and Francis Ltd., 2022-10-20)

  We investigate the relative logarithmic connections on a holomorphic vector bundle over a complex analytic family. We give a sufficient condition for the existence of a relative logarithmic connection on a holomorphic ...
• An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems 

  Kumar, Sunil; ., Kuldeep; Ramos, Higinio; Singh, Joginder (John Wiley and Sons Ltd, 2022-08-11)

  We construct an efficient hybrid numerical method for solving coupled systems of singularly perturbed linear parabolic problems of reaction-diffusion type. The discretization of the coupled system is based on the use of ...
• Existence and regularity results for a class of parabolic problems with double phase flux of variable growth 

  Arora, Rakesh; Shmarev, Sergey (Springer-Verlag Italia s.r.l., 2022-11-30)

  We study the homogeneous Dirichlet problem for the equation ut-div(F(z,∇u)∇u)=f,z=(x,t)∈QT=Ω×(0,T),where Ω ⊂ RN, is a bounded domain with ∂Ω ∈ C2, and F(z, ξ) = a(z) | ξ| p(z)-2+ b(z) | ξ| q(z)-2. The variable exponents ...
• Set-Valued α -Fractal Functions 

  Pandey, Megha; Som, Tanmoy; Verma, Saurabh (Springer, 2023-05-13)

  In this paper, we introduce the concept of the α -fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such ...
• On double phase Kirchhoff problems with singular nonlinearity 

  Arora, Rakesh; Fiscella, Alessio; Mukherjee, Tuhina; Winkert, Patrick (De Gruyter Open Ltd, 2023-06-14)

  In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth. Under very general assumptions ...
• Tikhonov regularized iterative methods for nonlinear problems 

  Dixit, Avinash; Sahu, D.R.; Gautam, Pankaj; Som, T. (Taylor and Francis Ltd., 2023-07-12)

  We consider the monotone inclusion problems in real Hilbert spaces. Proximal splitting algorithms are very popular technique to solve it and generally achieve weak convergence under mild assumptions. Researchers assume the ...
• WATSON WAVELET TRANSFORM: CONVOLUTION PRODUCT and TWO-WAVELET MULTIPLIERS 

  Upadhyay, Santosh Kumar; Shukla, Pragya (World Scientific, 2023-02-28)

  In this paper, utilizing the theory of Watson transform and Watson convolution, we explore the Watson wavelet convolution product and its related properties. The relation between the Watson Wavelet convolution product and ...
• Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality 

  Ceng, Lu-Chuan; Ghosh, Debdas; Shehu, Yekini; Yao, Jen-Chih (Institute for Ionics, 2023-01-26)

  This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint ...

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