INERTIAL PROXIMAL ALGORITHM FOR DIFFERENCE OF TWO MAXIMAL MONOTONE OPERATORS, By Mohsen Alimohammady

Research

Title	INERTIAL PROXIMAL ALGORITHM FOR DIFFERENCE OF TWO MAXIMAL MONOTONE OPERATORS
Type	Article
Keywords	Maximal monotone operator; proximal point algorithm.
Journal	INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
DOI	10.1007/s13226-015-0162-3
Researchers	Mohsen Alimohammady (First researcher) , Maede Ramzannejad (Second researcher)

Abstract

In this note, a new algorithm is presented for finding a zero of difference of two maximal monotone operators T and S, i.e., T ¡S in finite dimensional real Hilbert space H in which operator S has local boundedness property. This condition is weaker than Moudafi’s condition on operator S in [13]. Moreover, applying some conditions on inertia term in new algorithm, one can improve speed of convergence of sequence.