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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.
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Czasopismo
Rocznik
Tom
Strony
619--624
Opis fizyczny
Bibliogr. 8 poz.
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autor
autor
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- Department of Mathematics, University of Fort Hare, Alice 5700, South Africa
Bibliografia
- [1] E. Asplund, Average norms, Israel J. Math. 5 (1967), 227-233.
- [2] V. Barbu, Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publ., Netherlands, 1976.
- [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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0015-0016