DOI QR코드

DOI QR Code

PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES

  • He, Xin-Feng ;
  • Lou, Jian ;
  • He, Zhen
  • Received : 2011.02.16
  • Accepted : 2011.09.26
  • Published : 2012.01.31

Abstract

In this paper, we study generalized implicit variational-like inclusions and $J^{\eta}$-proximal operator equations in Banach spaces. It is established that generalized implicit variational-like inclusions in real Banach spaces are equivalent to fixed point problems. We also establish relationship between generalized implicit variational-like inclusions and $J^{\eta}$-proximal operator equations. This equivalence is used to suggest a iterative algorithm for solving $J^{\eta}$-proximal operator equations.

Keywords

generalized implicit variational-like inclusions;$J^{\eta}$-Proximal operator;Algorithm;$J^{\eta}$-proximal operator equations

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