A note on the weak convergence of a sequence of successive approximations

• Autorzy: Kalinde A. , Mishra S. , Singh S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss the weak convergence of the sequence of successive approximations for a generalized para-nonexpansive mapping in a reflexive Banach space that satisfies Opial's condition.

Słowa kluczowe

EN

weak convergence; Opial's condition; generalized para-nonexpansive mappings

PL

zbieżność słaba; odwzorowania; warunek Opialsa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 3
• Strony: 619--624
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kalinde A.

autor

Mishra S.

autor

Singh S.

• Department of Mathematics, University of Fort Hare, Alice 5700, South Africa

Bibliografia

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• [3] F. E. Browder, Fixed point theorems for noncompact mappings in Hilbert space, Proc. Nat. Acad. Sci. 53 (1965), 1272-1276.
• [4] F. E. Browder, Fixed point theorems for nonlinear semi-contractive mappings in Banach spaces, Arch. Rational Mech. Anal. 21 (1966), 259-269.
• [5] E. Lamidozo, Opératures nonexpansif, P-compacts et propriétés géométriques de la norme, Thése de Doctorot, Univ. Libre de Bruxelles, 1970.
• [6] J. P. Gossez and E. Lami Dozo, Some geometric properties related to the fixed point theory for nonexpansive mappings, Pacific J. Math. 40 (1972), 565-573.
• [7] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597.
• [8] B. S. Yada and D. S. Jaggi, Weak convergence of the sequence of successive approximations for para-nonexpansive mappings, Publ. de l'Inst. Math. Nouvelle Serie 28, 42 (1980), 89-93.