Approximating fixed points of lipschitz pseudo-contractive semigroups and solutions of variational inequalities

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Abstract

Let C be a closed and convex subset of a real Hilbert space H, T be a pseudo- contractive semigroup on C and A be a Lipschitz monotone mapping from C into H. In this paper, we propose and investigate an iterative scheme for finding a common element of the set of common fixed points of T and the set of solutions of the variational inequality V I(A,C). As a consequence, we prove that the scheme generated by the new method converges strongly under mild conditions on the parameters involved.

Original languageEnglish
Pages (from-to)1029-1047
Number of pages19
JournalNonlinear Functional Analysis and Applications
Volume22
Issue number5
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Control and Optimization
  • Applied Mathematics

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