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ITERATIVE ALGORITHMS FOR COMMON SOLUTIONS OF SPLIT MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF lambda-HYBRID MULTIVALUED MAPPINGSopen access
- Authors
- Sun, Wenlong; Liu, Yangqiu; Jin, Yuanfeng; Park, Choonkil
- Issue Date
- Sep-2022
- Publisher
- ELEMENT
- Keywords
- Fixed point problem; split mixed equilibrium problem; lambda-hybrid multivalued mapping; nonexpansive mapping
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.16, no.3, pp.1061 - 1074
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 16
- Number
- 3
- Start Page
- 1061
- End Page
- 1074
- ISSN
- 1846-579X
- Abstract
- In this paper, we present an iterative algorithm for solving split mixed equilibrium problems, fixed point problems of an infinite family of nonexpansive mappings and fixed point problems of lambda-hybrid multivalued mappings in real Hilbert spaces. We prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems under some mild assumptions.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)