On recursive averaging processes and Hilbert space extensions of the contraction mapping principle

DOI10.1016/0016-0032(73)90223-8zbMath0297.47043OpenAlexW2038967834MaRDI QIDQ1214123

S. Singh

Publication date: 1973

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(73)90223-8

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

A control averaging technique for solving a class of singular optimal control problems ⋮ Inversion of Normal Operators by Polynomial Interpolation ⋮ Iterative construction of fixed points for multivalued operators of the monotone type ⋮ Solving variational inequality and fixed point problems by line searches and potential optimization ⋮ A simple averaging process for approximating the solutions of certain optimal control problems ⋮ Convexity, monotonicity, and gradient processes in Hilbert space

Cites Work

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• Alternating Direction Implicit Methods
• On Steepest Descent
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type