On stability results for a new approximating fixed points iteration process

• Autorzy: Stevic S.
• Języki publikacji: EN

Abstrakty

EN

In this note we give proofs of two stability results for fixed point iteration procedures recently introduced.

Słowa kluczowe

EN

iteration method; contractive-type mapping; sequence

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 873--880
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Stevic S.

• Mathematicki Fakultet Studentski trg 16 11000 Beograd, Serbia, Yugoslavia

Bibliografia

• [1] S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150.
• [2] W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
• [3] M. O. Osilike and A. Udomene, Short proofs of stability results for fixed point iteration procedures for a class of contractive-type mapping, Indian J. Pure Appl. Math. 30 (12) (1999), 1229-1234.
• [4] L. Qihou, A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mappinng, J. Math. Anal. Appl. 146 (1990), 301-305.
• [5] S. Stevic, Approximating fixed points of nonexpansive mappins by a new iteration method, to appear.