Mixed variational-like inclusions and J(eta)-proximal operator equations in Banach spaces

作者：Ahmad Rais^*; Siddiqi A H

来源：Journal of Mathematical Analysis and Applications, 2007, 327(1): 515-524.

DOI：10.1016/j.jmaa.2006.04.054

• mixed variational-like inclusions
• J(eta)-proximal operator
• algorithm
• J(eta)-proximal operator equations

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

• 出版日期2007-3-1
• 单位中国石油大学（北京）