Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces
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Publication:4238406
DOI10.1016/S0362-546X(97)00566-XzbMath0927.47036OpenAlexW2051037399MaRDI QIDQ4238406
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Publication date: 13 December 1999
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00566-x
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Convergence theorems for finite families of \(\Phi \)-strongly pseudocontractive mappings ⋮ Krasnosel'skiĭ-Mann-Opial type iterative solution of \(m\)-accretive operator equation and its stability in arbitrary Banach spaces ⋮ Convergence and stability of modified Ishikawa iteration sequence with errors ⋮ The convergence of implicit Mann and Ishikawa iterations for weak generalized \({\varphi}\)-hemicontractive mappings in real Banach spaces ⋮ A three-step iterative scheme for solving nonlinear \(\phi\)-strongly accretive operator equations in Banach spaces ⋮ Iterative approximation of solutions to nonlinear equations of \(\phi\)-strongly accretive operators in Banach spaces. ⋮ Steepest descent method for equilibrium points of nonlinear systems with accretive operators ⋮ Convergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operators ⋮ Iterative process to \(\varphi\)-hemicontractive operator and \(\varphi\)-strongly accretive operator equations ⋮ Iterative solution of nonlinear equations involving set-valued uniformly accretive operators. ⋮ Fixed point theorem for generalized \(\varPhi \)-pseudocontractive mappings ⋮ Stability of the Mann and Ishikawa iteration procedures for \(\phi\)-strong pseudocontractions and nonlinear equations of the \(\phi\)-strongly accretive type ⋮ A note on the stability of iteration procedures for strong pseudocontractions and strongly accretive type equations
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