Results 31 to 40 of about 127 (110)
Porosity-based methods for solving stochastic feasibility problems [PDF]
, 2022 The notion of porosity is well known in Optimization and Nonlinear Analysis. Its importance is brought out by the fact that the complement of a σ-porous subset of a complete pseudo-metric space is a residual set, while the existence of the latter is ...
Simeon REICH, Simeon REICH +2 more
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Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 353-365, 2003., 2003 Suppose X is a real q‐uniformly smooth Banach space and F, K : X → X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed.
C. E. Chidume, H. Zegeye
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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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Solving some nonlinear equations by successive approximations
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 353-358, 2002., 2002 The iterations scheme generated by an infinite sequence of operators satisfying some contractive conditions in a complete metric space is used to solve some integral equations of Hammerstein type.
Albert K. Kalinde
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Open Mathematics, 2022 In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi +2 more
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Syntheses of differential games and pseudo‐Riccati equations
Abstract and Applied Analysis, Volume 7, Issue 2, Page 61-83, 2002., 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo‐Riccati equation has a regular solution P(t, x). Then the closed‐loop optimal strategies are given by u(t) = −R−1B∗P(t, x(t)), v(t) = −S−1C∗
Yuncheng You
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Ball convergence for combined three-step methods under generalized conditions in Banach space [PDF]
, 2020 We give a local convergence analysis for an eighth-order convergent method in order to approximate a locally unique solution of nonlinear equation for Banach space valued operators. In contrast to the earlier studies using hypotheses up to the seventh Fr´
MOTSA, Sandile S. +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This article investigates the structure and analytical properties of a system of mixed generalized Cayley variational inclusion problems (CVIPs) involving logical operations in the context of positive real‐ordered Hilbert spaces. To achieve the optimal solution, a parallel Mann iteration process is introduced.
Arifuzzaman +3 more
wiley +1 more source