Viscosity approximation methods for W-mappings in Hilbert space

الموضوعات :

HR Sahebi ¹ (Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.)
S. Ebrahimi ² (Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.)

تاريخ الإرسال : 02 الثلاثاء , رمضان, 1437 تاريخ التأكيد : 21 الثلاثاء , ربيع الأول, 1438 تاريخ الإصدار : 13 الجمعة , ربيع الأول, 1439

الکلمات المفتاحية: fixed point, Nonexpansive mapping, equilibrium problems, Hilbert space, W-mapping, strongly positive linear bounded operator,

ملخص المقالة :

We suggest a explicit viscosity iterative algorithm for nding a common elementof the set of common xed points for W-mappings which solves somevariational inequality. Also, we prove a strong convergence theorem with somecontrol conditions. Finally, we apply our results to solve the equilibrium problems.Finally, examples and numerical results are also given.