Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations
نویسندگان
چکیده
منابع مشابه
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and Applied Analysis 3 Lemma 3. Let {x k } and {z k } be any sequence generated by Algorithm 1. Suppose that g is monotone and that the solution set of (1) is not empty, then {x k } and {z k } are both bounded. Furthermore, it holds that lim k→∞ xk − zk = 0, (13) lim k→∞ xk+1 − xk = 0. (14) Proof. From (6), we have ⟨g (z k ) , x k − z k ⟩ = −α k ⟨g (z k ) , d k ⟩ ≥ σα 2 k ...
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2020
ISSN: 2090-9128
DOI: 10.1186/s42787-019-0066-1