The generalized contraction proximal point algorithm with square-summable errors
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DOI: 10.1007/s13370-016-0453-9
Abstract: Let $$(x_n)$$(xn) be a sequence generated by $$x_{n+1}=\alpha _nu+\gamma _nx_n+\delta _nJ_{\beta _n}x_n+e_n$$xn+1=αnu+γnxn+δnJβnxn+en for $$n\ge 0$$n≥0, where $$J_{\beta _n}$$Jβn is the resolvent of a maximal monotone operator A with $$\beta _n\in (0,\infty )$$βn∈(0,∞), $$u,x_0\in H$$u,x0∈H, $$(e_n)$$(en)… read more here.
Keywords: point algorithm; proximal point; beta; generalized contraction ... See more keywords