General proximal point algorithm for monotone operators

Authors

  • M. Eslamian
  • J. Vahidi

Abstract

We introduce a new general proximal point algorithm for an infinite family of monotone operators in a real Hilbert space. We establish strong convergence of the iterative process to a common zero point of the infinite family of monotone operators. Our result generalizes and improves numerous results in the available literature.

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Published

25.11.2016

Issue

Section

Research articles

How to Cite

Eslamian, M., and J. Vahidi. “General Proximal Point Algorithm for Monotone Operators”. Ukrains’kyi Matematychnyi Zhurnal, vol. 68, no. 11, Nov. 2016, pp. 1483-92, https://umj.imath.kiev.ua/index.php/umj/article/view/1935.