%0 Journal Article %T Viscosity regularization iterative methods and convergence analysis %A Li, Dongfeng %A Zhao, Juan %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 11 %@ ISSN 2008-1901 %F Li2017 %X In this paper, a Moudafi's type viscosity regularization iterative method is introduced and investigated for an \(m\)-accretive mapping and a nonexpansive mapping. Strong convergence of the regularization iterative method is obtained in the framework of real uniformly smooth Banach spaces. Some subresults are also provided as applications of the main results. %9 journal article %R 10.22436/jnsa.010.11.09 %U http://dx.doi.org/10.22436/jnsa.010.11.09 %P 5712--5722 %0 Journal Article %T Expanding the applicability of the generalized Newton method for generalized equations %A I. K. Argyros %A S. George %A S. M. Erappa %J Commun. Optim. Theory %D 2017 %V 2017 %F Argyros2017 %0 Book %T Nonlinear semigroups and differential equations in Banach spaces %A V. Barbu %D 1976 %I Translated from the Romanian, Editura Academiei Republicii Socialiste Romania, Bucharest; Noordhoff International Publishing %C Leiden %F Barbu 1976 %0 Journal Article %T Fixed-point theorems for noncompact mappings in Hilbert space %A F. E. Browder %J Proc. Nat. Acad. Sci. U.S.A. %D 1965 %V 53 %F Browder 1965 %0 Journal Article %T Existence and approximation of solutions of nonlinear variational inequalities %A F. E. Browder %J Proc. Nat. Acad. Sci. U.S.A. %D 1966 %V 56 %F Browder1966 %0 Journal Article %T Iteration approaches to hierarchical variational inequalities for infinite nonexpansive mappings and finding zero points of m-accretive operators %A L.-C. Ceng %A C.-F. Wen %A Y.-H. Yao %J J. Nonlinear Var. Anal. %D 2017 %V 1 %F Ceng2017 %0 Journal Article %T Existence of anti-periodic solutions for nonlinear implicit evolution equations with time dependent pseudomonotone operators %A O. Chadli %A A. Koukkous %A A. Saidi %J J. Nonlinear Var. Aanl. %D 2017 %V 1 %F Chadli2017 %0 Journal Article %T Some problems and results in the study of nonlinear analysis %A S.-S. Chang %J Proceedings of the Second World Congress of Nonlinear Analysts, Part 7, Athens, (1996), Nonlinear Anal. %D 1997 %V 30 %F Chang1997 %0 Journal Article %T Strong convergence theorems by viscosity approximation methods for accretive mappings and nonexpansive mappings %A S.-S. Chang %A H. W. J. Lee %A C. K. Chan %J J. Appl. Math. Inform. %D 2009 %V 27 %F Chang2009 %0 Journal Article %T Weak convergence of a splitting algorithm in Hilbert spaces %A S. Y. Cho %A B. A. Bin Dehaish %A X.-L. Qin %J J. Appl. Anal. Comput. %D 2017 %V 7 %F Cho2017 %0 Journal Article %T Strong convergence of a splitting algorithm for treating monotone operators %A S. Y. Cho %A X.-L. Qin %A L. Wang %J Fixed Point Theory Appl. %D 2014 %V 2014 %F Cho2014 %0 Journal Article %T Nonlinear semigroups and evolution equations %A T. Kato %J J. Math. Soc. Japan %D 1967 %V 19 %F Kato1967 %0 Journal Article %T Strong convergence of modified Mann iterations %A T.-H. Kim %A H.-K. Xu %J Nonlinear Anal. %D 2005 %V 61 %F Kim2005 %0 Journal Article %T A fixed point theorem for mappings which do not increase distances %A W. A. Kirk %J Amer. Math. Monthly %D 1965 %V 72 %F Kirk1965 %0 Journal Article %T Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces %A L. S. Liu %J J. Math. Anal. Appl. %D 1995 %V 194 %F Liu 1995 %0 Journal Article %T Viscosity approximation methods for fixed-points problems %A A. Moudafi %J J. Math. Anal. Appl. %D 2000 %V 241 %F Moudafi 2000 %0 Journal Article %T General variational inclusions and dynamical systems %A M. A. Noor %A R. Kamal %A K. I. Noor %J Commun. Optim. Theory %D 2017 %V 2017 %F Noor2017 %0 Journal Article %T Three-step iterations for nonlinear accretive operator equations %A M. A. Noor %A T. Rassias %A Z.-Y. Huang %J J. Math. Anal. Appl. %D 2002 %V 274 %F Noor2002 %0 Journal Article %T Convergence analysis of a monotone projection algorithm in reflexive Banach spaces %A X.-L. Qin %A S. Y. Cho %J Acta Math. Sci. Ser. B Engl. Ed. %D 2017 %V 37 %F Qin2017 %0 Journal Article %T Iterative algorithms with errors for zero points of m-accretive operators %A X.-L. Qin %A S. Y. Cho %A L. Wang %J Fixed Point Theory Appl. %D 2013 %V 2013 %F Qin2013 %0 Journal Article %T Projection splitting algorithms for nonself operators %A X.-L. Qin %A J.-C. Yao %J J. Nonlinear Convex Anal. %D 2017 %V 18 %F Qin2017 %0 Journal Article %T Weak convergence theorems for nonexpansive mappings in Banach spaces %A S. Reich %J J. Math. Anal. Appl. %D 1979 %V 67 %F Reich1979 %0 Journal Article %T Strong convergence theorems for resolvents of accretive operators in Banach spaces %A S. Reich %J J. Math. Anal. Appl. %D 1980 %V 75 %F Reich1980 %0 Journal Article %T Augmented Lagrangians and applications of the proximal point algorithm in convex programming %A R. T. Rockafellar %J Math. Oper. Res. %D 1976 %V 1 %F Rockafellar1976 %0 Journal Article %T Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces %A T. Suzuki %J Fixed Point Theory Appl. %D 2005 %V 2005 %F Suzuki 2005