On split null point and common fixed point problems for multivalued demicontractive mappings

ABSTRACT

In this paper, we introduce a new viscosity iterative method for solving the split null point and common fixed point problems for maximal monotone operators and multivalued demicontractive mappings in Hilbert spaces, and we obtain some strong convergence results under some suitable assumptions. As applications, we apply our results to the split feasibility problem and the split minimization problem. The results obtained in this paper generalize and improve the recent ones announced by many authors.

KEYWORDS:

• Split null point problem
• multivalued demicontractive mapping
• strong convergence
• viscosity method

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 47H05
• 47H09
• 47H20

Disclosure statement

No potential conflict of interest was reported by the author(s).