New results on the modified proximal point algorithm
نویسنده
چکیده
We present several strong convergence results for the modified proximal point algorithm xn+1 = αnu + (1 − αn)Jβnxn + en (n = 0, 1, . . .; u, x0 ∈ H given, and Jβn = (I + βnA) −1, for a maximal monotone operator A) in a real Hilbert space, under new sets of conditions on αn ∈ (0, 1) and βn ∈ (0,∞). These conditions are weaker than those known to us and our results extend and improve some recent results such as those of Xu.
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