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The generalised f-projection operator with an application

  • Ke-Qing Wu (a1) and Nan-Jing Huang (a1)
Abstract

In this paper, we introduce a new concept of generalised f-projection operator which extends the generalised projection operator πK : B*K, where B is a reflexive Banach space with dual space B* and K is a nonempty, closed and convex subset of B. Some properties of the generalised f-projection operator are given. As an application, we study the existence of solution for a class of variational inequalities in Banach spaces.

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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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