[1] Browder, F.E.:Nonexpansive nonlinear operators in a Banach space. Proc. Natl. Acad. Sci. USA 54(4), 1041-1044(1965)
[2] Kirk, W.A.:A fixed point theorem for mappings which do not increase distances. Am. Math. Mon. 72(9), 1004-1006(1965)
[3] Krasnoselskii, M.A.:Two remarks on the method of successive approximations. Uspekhi Mat. Nauk. 10, 123-127(1955)
[4] Mann, W.R.:Mean value methods in iteration. Proc. Am. Math. Soc. 4(3), 506-510(1953)
[5] Reich, S.:Weak convergence theorems for nonexpansive mappings in Banach spaces. J. Math. Anal. Appl. 67(2), 274-276(1979)
[6] Kirk, W.A.:Krasnoselskii's iteration process in hyperbolic space. Numer. Funct. Anal. Optim. 4(4), 371-381(1982)
[7] Reich, S., Zaslavski, A.J.:Convergence of Krasnoselskii-Mann iterations of nonexpansive operators. Math. Comput. Model. 32(11), 1423-1431(2000)
[8] Combettes, P.L.:Solving monotone inclusions via compositions of nonexpansive averaged operators. Optimization 53(5-6), 475-504(2004)
[9] Sahu, D.R., Ansari, Q.H., Yao, J.C.:Convergence of inexact Mann iterations generated by nearly nonexpansive sequences and applications. Numer. Funct. Anal. Optim. 37(10), 1312-1338(2016)
[10] Kim, T., Xu, H.K.:Robustness of Mann's algorithm for nonexpansive mappings. J. Math. Anal. Appl. 327(2), 1105-1115(2007)
[11] Opial, Z.:Weak convergence of the successive approximation for non-expansive mappings in Banach spaces. Bull. Am. Math. Soc. 73(4), 591-597(1967)
[12] Lindenstrauss, J., Tzafriri, L.:Classical Banach Spaces Ⅱ:Function Spaces. Springer, Berlin (1979)
[13] Chilin, V.I., Dodds, P.G., Sedaev, A.A.:Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions. Trans. Am. Math. Soc. 348(2), 4895-4918(1996)
[14] Kanzow, C., Shehu, Y.:Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Comput. Optim. Appl. 67(3), 593-620(2017)
[15] Falset, J.G., Kaczor, W.A., Kuczumow, T.:Weak convergence theorems for asymptotically nonexpansive mappings and semigroups. Nonlinear Anal. 43(3), 377-401(2001)
[16] Dulst, D.V.:Equivalent norms and the fixed point property for nonexpansive mappings. J. Lond. Math. Soc. 2(1), 139-144(1982)
[17] Tan, K.K., Xu, H.K.:Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. J. Math. Anal. Appl. 178(2), 301-308(1993)
[18] Xu, H.K.:Inequalities in Banach spaces with applications. Nonlinear Anal. 16(12), 1127-1138(1991)
[19] Browder, F.E.:Convergence theorems for sequences of nonlinear operators in Banach spaces. Math. Z. 100(3), 201-225(1967)
[20] Martinet, B.:Regularization d'inequations variationelles par approximations successives. Rev. Fr. d'Inf. et de Rech. Oper. 4(3), 154-159(1970). (In French)
[21] Moreau, J.J.:Proximité et dualité dans un espace hilbertien. Bull. Soc. Math. Fr. 93, 273-299(1965). (In French)
[22] Rockafellar, R.T.:Monotone operators and the proximal point algorithm. SIAM J. Control Optim. 14(5), 97-116(1976)
[23] López, G., Martínmárquez, V., Wang, F., Xu, H.K.:Forward-backward splitting methods for accretive operators in Banach spaces. Abstr. Appl. Anal. 2012(5), 933-947(2014) |
