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   Articles with "hadamard manifolds" as a keyword



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A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications

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recommendations! Published in 2021 at "Acta Mathematica Scientia"

DOI: 10.1007/s10473-021-0413-9

Abstract: In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a… read more here.

Keywords: inclusion problems; hadamard manifolds; monotone inclusion; new algorithm ... See more keywords
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Existence results for vector variational inequality problems on Hadamard manifolds

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recommendations! Published in 2020 at "Optimization Letters"

DOI: 10.1007/s11590-020-01562-7

Abstract: In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C -pseudomonotone, v -hemicontinuous and v -coercive operators are given. Some existence results for VVIP are obtained… read more here.

Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality ... See more keywords
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On the Convergence Rate of an Inexact Proximal Point Algorithm for Quasiconvex Minimization on Hadamard Manifolds

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recommendations! Published in 2017 at "Journal of the Operations Research Society of China"

DOI: 10.1007/s40305-016-0129-z

Abstract: In this paper, we present an analysis about the rate of convergence of an inexact proximal point algorithm to solve minimization problems for quasiconvex objective functions on Hadamard manifolds. We prove that under natural assumptions… read more here.

Keywords: point algorithm; hadamard manifolds; proximal point; point ... See more keywords
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Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1695783

Abstract: ABSTRACT This paper is devoted to two efficient algorithms for solving variational inequality on Hadamard manifolds. The algorithms are inspired by Tseng's extragradient methods with new step sizes, established without the knowledge of the Lipschitz… read more here.

Keywords: hadamard manifolds; extragradient methods; inequality hadamard; inequality ... See more keywords
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Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds

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recommendations! Published in 2021 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2020.1846728

Abstract: ABSTRACT In this paper, we present two algorithms for solving equilibrium problems on Hadamard manifolds. The two algorithms use the extragradient model and the golden ratio model, respectively, which are two classical models for solving… read more here.

Keywords: problems hadamard; hadamard manifolds; equilibrium; method ... See more keywords
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Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds

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recommendations! Published in 2019 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2018.1553887

Abstract: Abstract In this article, we consider an inclusion problem which is defined by means of a sum of a single-valued vector field and a set-valued vector field defined on a Hadamard manifold. We propose Halpern-type… read more here.

Keywords: inclusion; hadamard manifolds; mann type; type algorithms ... See more keywords
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Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds

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recommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2021.1895835

Abstract: Abstract The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed point for quasi-nonexpansive mappings in… read more here.

Keywords: problems equilibrium; hadamard manifolds; variational inclusion; problems fixed ... See more keywords
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Global error bounds for mixed Quasi-Hemivariational inequality problems on Hadamard manifolds

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recommendations! Published in 2020 at "Optimization"

DOI: 10.1080/02331934.2020.1718126

Abstract: ABSTRACT In this paper, we introduce and study a class of mixed quasi-hemivariational inequality problems on Hadamard manifolds (in short, (MQHIP)). Some regularized gap functions for (MQHIP) are proposed under suitable conditions. Finally, global error… read more here.

Keywords: quasi hemivariational; mixed quasi; problems hadamard; hemivariational inequality ... See more keywords
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Sharp Green’s Function Estimates on Hadamard Manifolds and Adams Inequality

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recommendations! Published in 2020 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rnaa216

Abstract: In this article, we establish estimates on Riesz-type kernels and prove the Adams-type inequality for $W^{k,p}(M)$ functions, where $(M,g)$ is an $n$-dimensional Hadamard manifold with sectional curvature bounded from below and above by a negative… read more here.

Keywords: estimates hadamard; green function; hadamard manifolds; function estimates ... See more keywords