A One-Step Tikhonov Regularization Iterative Scheme for Solving Split Feasibility and Fixed Point Problems
Keywords:
Fixed point problem, Hilbert space, minimization problem, pseudocontractive mapping.Abstract
We study split feasibility and fixed point problems for Lipschitzian pseudocontractive and nonexpansive mappings in real Hilbert spaces. Using Tikhonov’s regularization technique, we first propose an Ishikawa-type gradient-projection iterative scheme for approximating solutions to such problems and then carry out its convergence analysis. A weak convergence theorem is established,
applications are derived, and several numerical examples are presented.
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