Concepedia

Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings

Yuchao Tang, Liwei Liu

Fixed Point Theory and Applications · 2006 · 31 citations · 5 references

DOIFull text

Open access

Concepts

Abstract

Abstract We discuss convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in Banach spaces, and the boundedness of the domain and range can be dropped, generalizing theorems of Chang.

References

5

Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach

Matthias Birkner, José Alfredo López-Mimbela, Anton Wakolbinger · Proceedings of the American Mathematical Society · 2002 · 1K citations · Full text

, , +9

Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process

Kok Kiong Tan, Hong‐Kun Xu · Journal of Mathematical Analysis and Applications · 1993 · 880 citations

, , +11

Nonlinear semigroups and evolution equations

Tosio Kato · Journal of the Mathematical Society of Japan · 1967 · 836 citations · Full text

, , +11

Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings

S.S. Chang · Proceedings of the American Mathematical Society · 2000 · 50 citations · Full text

, , +8

Common fixed points of a finite family of asymptotically pseudocontractive maps

MO Osilike, B. G. Akuchu · Fixed Point Theory and Applications · 2004 · 22 citations · Full text

, , +11