Mean convergence theorems to generalized acute points for generalized pseudocontractions

Author:

KAWASAKİ Toshiharu1ORCID

Affiliation:

1. Tamagawa University

Abstract

Convergence theorems required more assumptions on parameters than fixed point theorems. In this paper we generalize the concept of acute point and we introduce some convergence theorems that holds under the same assumptions on parameters as fixed point theorems.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference27 articles.

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2. [2] J.-B. Baillon, Un théorème de type ergodique pour les contractions non linéaires dans un espace de Hilbert, Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences. Séries A et B 280 (1975), 1511-1514.

3. [3] F. E. Browder and W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert space, Journal of Mathematical Analysis and Applications 20 (1967), 197-228.

4. [4] D. Butnariu, A. N. Iusem, and E. Resmerita, Total convexity for powers of the norm in uniformly convex Banach spaces, Journal of Convex Analysis 7 (2000), 319-334.

5. [5] I. Ciornescu, Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems, Mathematics and its applications, vol. 62, Kluwer Academic Publishers, Dordrecht, 1990.

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