Fixed points of a new class of pseudononspreading mappings

[1] J. Baillon, Un théorème de type ergodique pour les contractions nonlinéaires dans un espace de Hilbert, C. R. Acad. Sci., Paris Ser. A-B 280 (Aii), 280, (1975), A1511–A1514Search in Google Scholar

[2] V. Berinde, Iterative Approximation of Fixed Points, Springer, London, 2002Search in Google Scholar

[3] F.E. Browder and W.V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert spaces, J. Math. Anal. Appl., 20, (1967), 197–22810.1016/0022-247X(67)90085-6Search in Google Scholar

[4] H. Che and M. Li, A simultaneous iterative method for split equality problems of two finite families of strictly pseudononspreading mappings without prior knowledge of operator norms, Fixed Point Theory and Applications, 2015, (2015:1)10.1186/1687-1812-2015-1Search in Google Scholar

[5] C.E. Chidume, Geometric Properties of Banach Spaces and Nonlinear Iterations, Springer, London, 200910.1007/978-1-84882-190-3Search in Google Scholar

[6] B. Halpern, Fixed points of nonexpanding mappings, Bull. Amer. Math. Soc., 73, (1967), 957–96110.1090/S0002-9904-1967-11864-0Search in Google Scholar

[7] S. Iemoto and W. Takahashi, Approximating commom fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space, Nonlinear Anal., 71, (2009), 2080-208910.1016/j.na.2009.03.064Search in Google Scholar

[8] T. Igarashi; W. Takahashi and K. Tanaka, Weak convergence theorems for nonspreading mappings and equilibrium problems, in: S. Akashi, W. Takahashi, T. Tanaka (Eds.), Nonlinear Analysis and Optimization, Yokohama, (2009), 75–85Search in Google Scholar

[9] F. Kohsaka W. Takahashi, Fixed point theorems for a class of nonlinear mappings relate to maximal monotone operators in Banach spaces, Arch. Math. (Basel), 91, (2008), 166–17710.1007/s00013-008-2545-8Search in Google Scholar

[10] F. Kohsaka W. Takahashi, Existence and approximation of fixed points of firmly nonexpansive-type mappings in Banach spaces, SIAM J. Optim., 19, (2008), 824-83510.1137/070688717Search in Google Scholar

[11] Y. Kurokawa and W. Takahashi, Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces, Nonlinear Analysis, 73, (2010), 1562–156810.1016/j.na.2010.04.060Search in Google Scholar

[12] M. Li and Y. Yao, Strong convergence of an iterative algorithm for λ-strictly pseudo-contractive mappings in Hilbert spaces, An. Şt. Univ. Ovidius Constanţ, 18(1), (2010)Search in Google Scholar

[13] S. Li, Alternating iterative algorithms for split equality problem of strictly pseudononspreading mapping, International Journal of Hybrid Information Technology, 9(5), (2016), 331-34210.14257/ijhit.2016.9.5.28Search in Google Scholar

[14] P.E. Maingé, Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization, Set-Valued Anal., 16, (200), 899–91210.1007/s11228-008-0102-zSearch in Google Scholar

[15] P. E. Maingé Ş. Mǎruş, Convergence in norm of modified KrasnoselskiMann iterations for fixed points of demicontractive mappings, Appl. Math. & Comput., 217(24), (2011)10.1016/j.amc.2011.04.068Search in Google Scholar

[16] L. Mǎruşter Ş. Mǎruşter, Strong convergence of the Mann iteration for -demicontractive mappings, Math. & Comput. Modell., 54(9), (2011), 2486–249210.1016/j.mcm.2011.06.006Search in Google Scholar

[17] M.O. Osilike and F.O. Isiogugu, Weak and strong convergence theorems for nonspsreading type-mappings in Hilbert spaces, Nonlinear Analysis, 74, (2011), 1814–182210.1016/j.na.2010.10.054Search in Google Scholar

[18] M.O. Osilike; F.O. Isiogugu and F.U. Attah, Strong convergence of a modified Ishikawa iterative algorithm for Lipschitz pseudocontractive mappings, J. Appl. Math. & Informatics, 31(3-4), (2013), 565–57510.14317/jami.2013.565Search in Google Scholar

[19] W. Takahashi and M. Toyoda, Weak convergence theorems for nonexpansive mappings and monotone mappings, J. Optim. Theory Appl, 118, (2003), 417–42810.1023/A:1025407607560Search in Google Scholar

[20] H.K. Xu, Iterative algorithms for nonlinear operators, J. Lond. Math. Soc., 66(2), (2002), 240–25610.1112/S0024610702003332Search in Google Scholar