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   Articles with "convergence theorems" as a keyword



Generalized Integrals and Convergence Theorems

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recommendations! Published in 2025 at "Results in Mathematics"

DOI: 10.1007/s00025-025-02402-9

Abstract: Under a wide concept of generalized integrals, classical results like the Lebesgue dominated convergence theorem and the rearrangement Riemann theorem are presented and proven. At the end of the paper, an application of the rearrangement… read more here.

Keywords: convergence; generalized integrals; integrals convergence; convergence theorems ... See more keywords

Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings

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recommendations! Published in 2019 at "Numerical Algorithms"

DOI: 10.1007/s11075-019-00780-0

Abstract: The aim of this paper is to study a classical pseudo-monotone and non-Lipschitz continuous variational inequality problem in real Hilbert spaces. Weak and strong convergence theorems are presented under mild conditions. Our methods generalize and… read more here.

Keywords: pseudo monotone; convergence theorems; non lipschitz; weak strong ... See more keywords
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Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces

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recommendations! Published in 2019 at "Filomat"

DOI: 10.2298/fil1919267c

Abstract: In this paper, we study a general system of variational inequalities with a hierarchical variational inequality constraint for an infinite family of nonexpansive mappings. We introduce general implicit and explicit iterative algorithms. We prove the… read more here.

Keywords: convergence theorems; viscosity approaches; variational inequalities; composite viscosity ... See more keywords

Convergence theorems for nonspreading mappings and equilibrium problems in Hadamard spaces

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recommendations! Published in 2020 at "Filomat"

DOI: 10.2298/fil2006863a

Abstract: In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of… read more here.

Keywords: theorems nonspreading; nonspreading mappings; mappings equilibrium; convergence theorems ... See more keywords

Strong and weak convergence theorems for solutions of equations of Hammerstein-type

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recommendations! Published in 2023 at "Filomat"

DOI: 10.2298/fil2302477o

Abstract: In this paper, it is our aim in this paper to introduce a new iterative algorithmfor approximation of a solution of an equation of Hammerstein-type. The proposed scheme does not involve computation of inverse of… read more here.

Keywords: weak convergence; hammerstein type; type; convergence theorems ... See more keywords

Halpern type convergence theorems on a geodesic space with curvature bounded above by a general real number

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2431111k

Abstract: In this paper, we prove convergence theorems with the Halpern type iterative scheme in the setting of geodesic spaces with curvature bounded above by general real numbers. To obtain the results, we consider another type… read more here.

Keywords: curvature bounded; convergence theorems; halpern type; bounded general ... See more keywords

Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces

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recommendations! Published in 2020 at "Mathematics"

DOI: 10.3390/math8060892

Abstract: In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces. As applications, new strong convergence theorems for equilibrium problems, fixed… read more here.

Keywords: split feasibility; convergence theorems; banach spaces; generalized split ... See more keywords

Strong convergence theorems for equilibrium problems involving Bregman functions in Banach spaces

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recommendations! Published in 2017 at "Tamkang Journal of Mathematics"

DOI: 10.5556/j.tkjm.48.2017.2299

Abstract: In this paper, using Bregman functions, we introduce new Halpern-type iterative algorithms for finding a solution of an equilibrium problem in Banach spaces. We prove the strong convergence of a modified Halpern-type scheme to an… read more here.

Keywords: convergence theorems; banach spaces; bregman functions; theorems equilibrium ... See more keywords