PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES
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In this paper, we study generalized implicit variational-like inclusions and J^n-proximal operator equations in Banach spaces.It is es-tablished that generalized implicit variational-like inclusions in real Ba-nach spaces are equivalent to xed point problems.We also establish a relationship between generalized implicit variational-like inclusions and J^n-proximal operator equations. This equivalence is used to suggest an iterative algorithm for solving J^n-proximal operator equations.
Abstract
In this paper, we study generalized implicit variational-like inclusions and J^n-proximal operator equations in Banach spaces.It is es-tablished that generalized implicit variational-like inclusions in real Ba-nach spaces are equivalent to xed point problems.We also establish a relationship between generalized implicit variational-like inclusions and J^n-proximal operator equations. This equivalence is used to suggest an iterative algorithm for solving J^n-proximal operator equations.
참고문헌 (14)
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