Noor Iterative Approximation for Solutions to Variational Inclusions with k-Subaccretive Type Mappings in Reflexive Banach Spaces

Shuyi Zhang, Xinqi Guo, Jun Wang
2012 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
In this paper, we introduce and study a new class of nonlinear vari- ational inclusion problems with Lipschitz k-subaccretive type mappings in real reflexive Banach spaces. The existence and uniqueness of such solutions are proved and the convergence and stability of Noor iterative sequences with errors are also discussed. Furthermore, general conver- gence rate estimates are given in our results, which essentially improve and extend the corresponding results in Chang[1, 2], Ding[3], Gu[5, 6,
more » ... , Hassouni andMoudafi[8], Kazmi[9], Noor[11, 12], Siddiqi and Ansari[13], Siddiqi, Ansari and Kazmi[14] and Zeng[16].
doi:10.2478/v10309-012-0034-3 fatcat:lv7fp6vcmrdbxggb62l47nodri