Abstract
The purpose of this paper is to investigate the existence and approximation of fixed points of generalized Bregman nonspreading mapping which are also the zeropoints of maximal monotone operator in a real reflexive Banach space. Without assumingthe ‘AKTT’ condition, we prove a strong convergence theorem for approximatinga common element in the set of fixed points of system of generalized Bregman nonspreadingmappings and the set of zero points of system of maximal monotone operators in a realreflexive Banach space.
Original language | English |
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Pages (from-to) | 229-258 |
Number of pages | 30 |
Journal | Portugaliae Mathematica |
Volume | 76 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2019 |
Externally published | Yes |
Keywords
- Banach limit
- Banach space
- Bregman distance
- Fixed point
- Generalized nonspreading mapping
- Maximal monotone operator
- Zero point