Convergence theorems for asymptotically pseudocontractive mappings

[1]  Hong-Kun Xu,et al.  Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process , 1993 .

[2]  Liu Qihou,et al.  Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings , 1996 .

[3]  B. Rhoades,et al.  Fixed Point Iterations for Certain Nonlinear Mappings , 1994 .

[4]  Hong-Kun Xu Inequalities in Banach spaces with applications , 1991 .

[5]  Shih-Sen Chang,et al.  On Chidume's Open Questions and Approximate Solutions of Multivalued Strongly Accretive Mapping Equations in Banach Spaces☆☆☆ , 1997 .

[6]  W. R. Mann,et al.  Mean value methods in iteration , 1953 .

[7]  L. Deng On Chidume′s Open Questions , 1993 .

[8]  Jürgen Schu,et al.  Iterative construction of fixed points of asymptotically nonexpansive mappings , 1991 .

[9]  Charles E. Chidume,et al.  The Solution by Iteration of Nonlinear Equations in Uniformly Smooth Banach Spaces , 1997 .

[10]  On a Theorem of C. E. Chidume Concerning the Iterative Approximation of Fixed Points , 1991 .

[11]  C. E. Chidume,et al.  INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS ITERATIVE SOLUTION OF NONLINEAR EQUATIONS WITH STRONGLY ACCRETIVE OPERATORS , 2005 .

[12]  Hong-Kun Xu,et al.  Existence and convergence for fixed points of mappings of asymptotically nonexpansive type , 1991 .

[13]  C. Chidume Iterative Solutions of Nonlinear Equations of the Strongly Accretive Type , 1998 .

[14]  C. E. Chidume,et al.  FIXED POINT ITERATION FOR PSEUDOCONTRACTIVE MAPS , 1999 .

[15]  Yuguang Xu,et al.  Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations , 1998 .

[16]  B. Rhoades,et al.  Comments on two fixed point iteration methods , 1976 .

[17]  S. Reich,et al.  Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces , 1979 .

[18]  J. Górnicki Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition , 1991 .

[19]  C. Chidume Steepest descent approximations for accretive operator equations , 1996 .

[20]  Liu Qihou,et al.  On Naimpally and Singh's open questions , 1987 .

[21]  Dietrich Göhde,et al.  Zum Prinzip der kontraktiven Abbildung , 1965 .

[22]  C. E. Chidume,et al.  Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings , 1987 .

[23]  Simeon Reich,et al.  Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property , 1993 .

[24]  Z. Opial Weak convergence of the sequence of successive approximations for nonexpansive mappings , 1967 .

[25]  C. E. Chidume Approximation of fixed points of strongly pseudocontractive mappings , 1994 .

[26]  S. Ishikawa Fixed points by a new iteration method , 1974 .

[27]  Jarosław Górnicki,et al.  Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces , 1989 .

[28]  W. A. Kirk,et al.  A fixed point theorem for transformations whose iterates have uniform Lipschitz constant , 1973 .

[29]  Lishan Liu,et al.  Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces , 1995 .

[30]  William A. Kirk,et al.  A Fixed Point Theorem for Mappings which do not Increase Distances , 1965 .

[31]  C. Chidume,et al.  Approximation of a Solution for aK-Positive Definite Operator Equation☆ , 1997 .

[32]  Hong-Kun Xu,et al.  A nonlinear ergodic theorem for asymptotically nonexpansive mappings , 1992, Bulletin of the Australian Mathematical Society.

[33]  William A. Kirk,et al.  Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type , 1974 .

[34]  F. Browder,et al.  NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE. , 1965, Proceedings of the National Academy of Sciences of the United States of America.

[35]  L. Qihou The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings , 1990 .

[36]  H. Oka Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings , 1992 .

[37]  C. Chidume Global iteration schemes for strongly pseudo-contractive maps , 1998 .

[38]  Negash G Medhin Optimal processes governed by integral equations , 1986 .

[39]  William A. Kirk,et al.  A FIXED POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS , 1972 .