Journal of inequalities and applications | |
Generalized multivalued equilibrium-like problems: auxiliary principle technique and predictor-corrector methods | |
Vahid Dadashi1  | |
关键词: generalized multivalued equilibrium-like problems; multivalued hemiequilibrium problems; auxiliary principle technique; predictor-corrector methods; convergence analysis; 47H05; 47J20; 47J25; 49J40; 65K10; 90C33; | |
DOI : 10.1186/s13660-016-1000-9 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems, hemivariational inequalities, and variational inequalities as special cases. By utilizing the auxiliary principle technique, some new predictor-corrector iterative algorithms for solving them are suggested and analyzed. The convergence analysis of the proposed iterative methods requires either partially relaxed monotonicity or jointly pseudomonotonicity of the bifunctions involved in generalized multivalued equilibrium-like problem. Results obtained in this paper include several new and known results as special cases.
【 授权许可】
CC BY
【 预 览 】
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