应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2010年
4期
758-766
,共9页
弱相对非扩展映射%不动点%零点%极大单调算子%均衡问题
弱相對非擴展映射%不動點%零點%極大單調算子%均衡問題
약상대비확전영사%불동점%영점%겁대단조산자%균형문제
Weakly relatively nonexpansive mapping%Fixed point%Zero point%Maximal monotone operator%Equilibrium problems
本文在Banach 空间中设计了一些新的杂交迭代算法用以逼近一类均衡问题解集和弱相对非扩展映射不动点集或极大单调算子零点集的公共元.得到了一些强收敛的结论,并将它们推广到逼近一类均衡问题解集和有限个弱相对非扩展映射公共不动点集或有限个极大单调算子公共零点集的公共元的情形.最后,展示了本文的迭代算法在最优化问题上的应用.
本文在Banach 空間中設計瞭一些新的雜交迭代算法用以逼近一類均衡問題解集和弱相對非擴展映射不動點集或極大單調算子零點集的公共元.得到瞭一些彊收斂的結論,併將它們推廣到逼近一類均衡問題解集和有限箇弱相對非擴展映射公共不動點集或有限箇極大單調算子公共零點集的公共元的情形.最後,展示瞭本文的迭代算法在最優化問題上的應用.
본문재Banach 공간중설계료일사신적잡교질대산법용이핍근일류균형문제해집화약상대비확전영사불동점집혹겁대단조산자영점집적공공원.득도료일사강수렴적결론,병장타문추엄도핍근일류균형문제해집화유한개약상대비확전영사공공불동점집혹유한개겁대단조산자공공영점집적공공원적정형.최후,전시료본문적질대산법재최우화문제상적응용.
In this paper,some new hybrid iterative schemes for approximating the common element of the set of solutions of an equilibrium problem and the set of fixed points of weakly relatively nonexpansive mappings or the set of zero points of maximal monotone operators in a Banach space are proposed.Some strong convergence theorems are proved and are also extended to the finite cases.Moreover,the applications of the newly obtained iterative schemes on optimization problems are demonstrated.
