Results 1 to 10 of about 65 (65)
A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
Topological Algebra and its Applications, 2023 In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
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On the dynamics of grounded shallow ice sheets: Modeling and analysis
Advances in Nonlinear Analysis, 2023 In this article, we formulate a model describing the evolution of thickness of a grounded shallow ice sheet. The thickness of the ice sheet is constrained to be nonnegative. This renders the problem under consideration an obstacle problem.
Piersanti Paolo, Temam Roger
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Solving Composite Fixed Point Problems with Block Updates
Advances in Nonlinear Analysis, 2021 Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration.
Combettes Patrick L., Glaudin Lilian E.
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Demonstratio Mathematica, 2023 The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur +4 more
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On the nonlinear perturbations of self-adjoint operators
Advances in Nonlinear Analysis, 2022 Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ...
Bełdziński Michał +2 more
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Demonstratio Mathematica, 2021 In this paper, we introduce a new algorithm for solving pseudomonotone variational inequalities with a Lipschitz-type condition in a real Hilbert space.
Wairojjana Nopparat +2 more
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Advances in Nonlinear Analysis, 2020 In this work we investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators.
Boţ Radu Ioan +3 more
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A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings
Demonstratio Mathematica, 2020 The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is
Wega Getahun B. +2 more
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Analysis and Geometry in Metric Spaces, 2023 This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a ...
Salisu Sani +2 more
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Abstract and Applied Analysis, Volume 2003, Issue 1, Page 19-31, 2003., 2003 The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed submonotone on a residual subset.
Tzanko Donchev, Pando Georgiev
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