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Note on a simple trigonometric equality
In a recent paper Vinay, Shweta, and Harshitha use Ramanujan’s theta functions to prove several trigonometric equalities. Elementary proofs for some...
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Equality Conditions for the Fractional Superadditive Volume Inequalities
While studying set function properties of Lebesgue measure, F. Barthe and M. Madiman proved that Lebesgue measure is fractionally superadditive on...
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Energy equality of MHD system under a weaker condition on magnetic field
We prove the energy equality of MHD system in the space founded by Cheskidov et al. (Nonlinearity 21:1233–1252, 2008) and Berselli and Chiodaroli...
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Convergence analysis for solving the split equality equilibrium problem in Hilbert spaces
In this paper, we propose four alternated inertial algorithms with self-adaptive stepsize to address the split equality equilibrium problem (SEEP) in...
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Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application
This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the...
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Equality of Ordinary and Symbolic Powers of Some Classes of Monomial Ideals
In this article, our aim is to extend the class of monomial ideals for which symbolic and ordinary powers coincide. This property has been...
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On One Asymptotic Equality Proved by Revers
We improve an asymptotic equality proved by Revers for an interpolation analog of the classical Bernstein–Varga–Carpenter result.
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The equality cases in Steiner’s projection inequality
In Lin (Calc. Var. Partial Differential Equations 60:196, 2021), the first author proved the Steiner’s projection inequality and the Petty projection...
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ON GENERALIZED CURVATURE EQUALITY AND INEQUALITY FOR SEQUENTIAL WARPED PRODUCT SUBMANIFOLDS
The present article deals with the study of generalized curvature equality and inequality. We first derive equality involving mean curvature vector...
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A new optimization approach to solving split equality problems in Hilbert spaces
We introduce a new optimization approach to solving systems of split equality problems in real Hilbert spaces. We use the inertial method in order to...
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The Regularization Continuation Method for Optimization Problems with Nonlinear Equality Constraints
This paper considers the regularization continuation method and the trust-region updating strategy for the nonlinearly equality-constrained...
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Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains
We settle the case of equality for the relative isoperimetric inequality outside any arbitrary convex set with not empty interior.
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On the Asymptotic Power of a Method for Testing Hypotheses on the Equality of Distributions
AbstractIn this paper, the asymptotic power of a method for testing hypotheses on the equality of two distributions is investigated; it can be...
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A spline smoothing homotopy method for nonlinear programming problems with both inequality and equality constraints
In this paper, we construct a new spline smoothing homotopy method for solving general nonlinear programming problems with a large number of...
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An Inertial method for solutions of split equality inclusion problems
The main objective of this Thesis is to introduce and study the Split Equality Inclusion Problem in the framework of real Hilbert spaces. In order to...
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Computing Second-Order Points Under Equality Constraints: Revisiting Fletcher’s Augmented Lagrangian
We address the problem of minimizing a smooth function under smooth equality constraints. Under regularity assumptions on these constraints, we...
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An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces
In this paper, we introduce the split equality Minty variational inequality problem in reflexive real Banach spaces. Then we construct a single...
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A sequential adaptive regularisation using cubics algorithm for solving nonlinear equality constrained optimization
The adaptive regularisation algorithm using cubics (ARC) is initially proposed for unconstrained optimization. ARC has excellent convergence...
