Charles Ejike Chidume

Born:

place:

Ph.D. (1985) Ohio State University
thesis: ITERATIVE METHODS AND NONLINEAR FUNCTIONAL EQUATIONS; advisor William Jay Davis

: Professor of Mathematics, International Center for Theoretical Physics, Trieste, Italy

personal or universal URL:
email:

RESEARCH

1. Bourhim, A.; Chidume, C. E.; Zerouali, E. H. Bounded point evaluations for cyclic operators and local spectra. Proc. Amer. Math. Soc. 130 (2002), no. 2, 543--548.
2. (Review) Chidume, C. E.; Mutangadura, S. A. An example of the Mann iteration method for Lipschitz pseudocontractions. Proc. Amer. Math. Soc. 129 (2001), no. 8, 2359--2363
3. (Review) Chidume, C. E.; Zegeye, H. Global iterative schemes for accretive operators. J. Math. Anal. Appl. 257 (2001), no. 2, 364--377.
4. (Review) Chidume, C. E. Iterative approximation of fixed points of Lipschitz pseudocontractive maps. Proc. Amer. Math. Soc. 129 (2001), no. 8, 2245--2251
5. Chidume, C. E. Iterative methods for nonlinear Lipschitz pseudocontractive operators. J. Math. Anal. Appl. 251 (2000), no. 1, 84--92.
6. Chidume, C. E.; Rachidi, M.; Zerouali, E. H. Solving the general truncated moment problem by the $r$-generalized Fibonacci sequences method. J. Math. Anal. Appl. 256 (2001), no. 2, 625--635.
7. Chidume, C. E.; Moore, Chika Steepest descent method for equilibrium points of nonlinear systems with accretive operators. J. Math. Anal. Appl. 245 (2000), no. 1, 142--160.
8. Chidume, C. E.; Osilike, M. O. Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces. Nonlinear Anal. 36 (1999), no. 7, Ser. A: Theory Methods, 863--872.
9. Chidume, C. E.; Zegeye, Habtu Approximation of the zeros of $m$-accretive operators. Nonlinear Anal. 37 (1999), no. 1, Ser. B: Real World Appl., 81--96.
10. Chidume, C. E.; Zegeye, Habtu; Ntatin, Benselamonyuy A generalized steepest descent approximation for the zeros of $m$-accretive operators. J. Math. Anal. Appl. 236 (1999), no. 1, 48--73.
11. Morales, Claudio H.; Chidume, Charles E. Convergence of the steepest descent method for accretive operators. Proc. Amer. Math. Soc. 127 (1999), no. 12, 3677--3683. 47H10 (47H06 47J25)
12. Chidume, C. E. Convergence theorems for strongly pseudo-contractive and strongly accretive maps. J. Math. Anal. Appl. 228 (1998), no. 1, 254--264. 47H10 (47H06 47H09 47H17)
13. Chidume, C. E. Iterative solutions of nonlinear equations of the strongly accretive type. Math. Nachr. 189 (1998), 49--60. 47H15 (47H04 47H06 47H17)
14. Chidume, C. E.; Moore, Chika Fixed point iteration for pseudocontractive maps. Proc. Amer. Math. Soc. 127 (1999), no. 4, 1163--1170. 47H09 (47H10)
15. Chidume, C. E.; Osilike, M. O. Nonlinear accretive and pseudo-contractive operator equations in Banach spaces. Nonlinear Anal. 31 (1998), no. 7, 779--789. 47H10
16. Chidume, C. E.; Moore, Chika The solution by iteration of nonlinear equations in uniformly smooth Banach spaces. J. Math. Anal. Appl. 215 (1997), no. 1, 132--146. ) 47H17 (47H06 47H15)
17. Chidume, C. E. Global iteration schemes for strongly pseudo-contractive maps. Proc. Amer. Math. Soc. 126 (1998), no. 9, 2641--2649. 47H10
18. Chidume, C. E.; Osilike, M. O. Approximation of a solution for a $K$-positive definite operator equation. J. Math. Anal. Appl. 210 (1997), no. 1, 1--7.
19. Chidume, C. E. Steepest descent approximations for accretive operator equations. Nonlinear Anal. 26 (1996), no. 2, 299--311.
20. Chidume, C. E. Steepest descent method for locally accretive mappings. J. Korean Math. Soc. 33 (1996), no. 1, 1--14.
21. Chidume, C. E. Iterative solutions of nonlinear equations in smooth Banach spaces. Nonlinear Anal. 26 (1996), no. 11, 1823--1834.
22. Chidume, C. E. Iterative solution of nonlinear equations with strongly accretive operators. J. Math. Anal. Appl. 192 (1995), no. 2, 502--518.
23. Chidume, C. E.; Osilike, M. O. Ishikawa iteration process for nonlinear Lipschitz strongly accretive mappings. J. Math. Anal. Appl. 192 (1995), no. 3, 727--741.
24. Chidume, C. E.; Osilike, M. O. Iterative solution for nonlinear integral equations of Hammerstein type. Special issue in honour of Professor Chike Obi. J. Nigerian Math. Soc. 11 (1992), no. 1, 9--18. (Reviewer: Javad Abdalkhani) 65R20 (45L05 65J15)
25. Chidume, Charles E.; Lubuma, Mbaro-Saman Solution of the Stokes system by boundary integral equations and fixed point iterative schemes. Special issue in honour of Professor James O. C. Ezeilo. J. Nigerian Math. Soc. 11 (1992), no. 3, 1--17. 65N38 (76D07 76M25)
26. Chidume, C. E.; Osilike, M. O. Approximation methods for nonlinear operator equations of the $m$-accretive type. J. Math. Anal. Appl. 189 (1995), no. 1, 225--239. 47H06 (47H17)
27. Chidume, C. E.; Osilike, M. O. Fixed point iterations for strictly hemi-contractive maps in uniformly smooth Banach spaces. Numer. Funct. Anal. Optim. 15 (1994), no. 7-8, 779--790. 47H15 (47H09 47H17)
28. Chidume, C. E. An iterative method for nonlinear demiclosed monotone-type operators. Dynam. Systems Appl. 3 (1994), no. 3, 349--355.
29. Chidume, C. E.; Aneke, S. J. Existence, uniqueness and approximation of a solution for a $K$-positive definite operator equation. Appl. Anal. 50 (1993), no. 3-4, 285--294.
30. Chidume, C. E.; Osilike, M. O. Fixed point iterations for quasi-contractive maps in uniformly smooth Banach spaces. Bull. Korean Math. Soc. 30 (1993), no. 2, 201--212.
31. Chidume, C. E. Approximation of fixed points of strongly pseudocontractive mappings. Proc. Amer. Math. Soc. 120 (1994), no. 2, 545--551.
32. Chidume, C. E. Iterative methods for nonlinear set-valued operators of the monotone type with applications to operator equations. J. Nigerian Math. Soc. 9 (1990), 7--20. (Reviewer: Gérard Lebourg) 65J15 (47H06 47H17)
33. Chidume, C. E. Approximation of fixed points of quasi-contractive mappings in $L\sb p$ spaces. Indian J. Pure Appl. Math. 22 (1991), no. 4, 273--286.
34. Chidume, C. E. An iterative process for nonlinear Lipschitzian strongly accretive mappings in $L\sb p$ spaces. J. Math. Anal. Appl. 151 (1990), no. 2, 453--461.
35. Chidume, C. E. Iterative solution of nonlinear equations of the monotone type in Banach spaces. Bull. Austral. Math. Soc. 42 (1990), no. 1, 21--31.
36. Chidume, C. E. Iterative solution of nonlinear equations of the monotone and dissipative types. Appl. Anal. 33 (1989), no. 1-2, 79--86.
37. Chidume, C. E. Fixed point iterations for nonlinear Hammerstein equation involving nonexpansive and accretive mappings. Indian J. Pure Appl. Math. 20 (1989), no. 2, 129--135. 47H15 (47H17)
38. Chidume, C. E. Fixed point iterations for certain classes of nonlinear mappings. Appl. Anal. 27 (1988), no. 1-3, 31--45. 47H10 (47H09)
39. Chidume, C. E. On the Ishikawa fixed points iterations for quasicontractive mappings. J. Nigerian Math. Soc. 4 (1985), 1--11 (1987).
40. Chidume, C. E. Iterative construction of fixed points for multivalued operators of the monotone type. Appl. Anal. 23 (1986), no. 3, 209--218.
41. Chidume, C. E. The solution by iteration of nonlinear equations in certain Banach spaces. J. Nigerian Math. Soc. 3 (1984), 57--62 (1986).
42. Chidume, C. E. Quasinonexpansive mappings and uniform asymptotic regularity. Kobe J. Math. 3 (1986), no. 1, 29--35.
43. Chidume, C. E. An approximation method for monotone Lipschitzian operators in Hilbert spaces. J. Austral. Math. Soc. Ser. A 41 (1986), no. 1, 59--63.
44. Chidume, C. E. The iterative solution of the equation $f\in x\,+\,Tx$ for a monotone operator $T$ in $L\sp p$ spaces. J. Math. Anal. Appl. 116 (1986), no. 2, 531--537.
45. Chidume, C. E. Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings. Proc. Amer. Math. Soc. 99 (1987), no. 2, 283--288.
46. Chidume, C. E. On the approximation of fixed points of nonexpansive mappings. Houston J. Math. 7 (1981), no. 3, 345--355. (Reviewer: B. E. Rhoades) 47H10

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