Strong Convergence Theorems for Asymptotically Pseudocontractive Mappings in the Intermediate Sense
Journal of Advances in Mathematics and Computer Science · pp. 151–162 · Published 13 Oct 2012
10.9734/BJMCS/2012/1569Abstract
In this study, we prove a strong convergence of Noor type scheme for a uniformly L-Lipschitzian and asymptotically pseudocontractive mappings in the intermediate sense without assuming any form of compactness. Consequently, we also obtain a convergence result for the class of asymptotically strict pseudocontractive mappings in the intermediate sense. Our results are improvements and extensions of some of the results in literature.
References (30)
- 1 Construction of fixed points of nonlinear mappings in Hilbert space [DOI]
- 2 A Fixed Point Theorem for Asymptotically Nonexpansive Mappings [DOI]
- 3 Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process [DOI]
- 4 New Approximation Schemes for General Variational Inequalities [DOI]
- 5 Approximating Fixed Points of Nonexpansive Mappings [DOI]
- 6 Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces [DOI]
- 7 Iterative construction of fixed points of asymptotically nonexpansive mappings [DOI]
- 8 Strong convergence of the CQ method for fixed point iteration processes [DOI]
- 9 Comments on two fixed point iteration methods [DOI]
- 10 Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property [DOI]
- 11 Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type [DOI]
- 12 Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings [DOI]
- 13 Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings [DOI]
- 14 Asymptotically strict pseudocontractive mappings in the intermediate sense [DOI]
- 15 Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions [DOI]
- 16 Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces [DOI]
- 17 A hybrid iterative scheme for asymptotically -strict pseudo-contractions in Hilbert spaces [DOI]
- 18 Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces [DOI]
- 19 Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense [DOI]
- 20 Iteration Sequences for Asymptotically Quasi-nonexpansive Mapping with an Error Member of Uniform Convex Banach Space [DOI]
- 21 Three-step iterations for nonlinear accretive operator equations [DOI]
- 22 Three-steps iterative algorithms for mixed variational inequalities [DOI]
- 23 Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense [DOI]
- 24 DEMICLOSEDNESS PRINCIPLE WITH APPLICATIONS FOR ASYMPTOTICALLY PSEUDO-CONTRACTIONS IN HILBERT SPACES, NONLINEAR ANALYSIS: THEORY
- 25 MODIFED NOOR ITERATIVE METHODS FOR A FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPS
- 26 Modified Noor iterations for nonlinear equations in Banach spaces [DOI]
- 27 Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces [DOI]
- 28 MODIFIED ISHIKAWA ITERATIVE SEQUENCES WITH ERRORS FOR ASYMPTOTICALLY SET-VALUED PSEUCOCONTRACTIVE MAPPINGS IN BANACH SPACES [DOI]
- 29 Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense [DOI]
- 30 Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications [DOI]
Cited by 17
G. A. Okeke, H. Olaoluwa · Journal of Advances in Mathematics and Computer Science · 2013
Darwin P. Mangubat, Greig Bates C. Flores · Asian Research Journal of Mathematics · 2024
Xin-dong Liu, Shih-sen Chang · Journal of Inequalities and Applications · 2014
Godwin Amechi Okeke, Cyril Ifeanyichukwu Ugwuogor, Rubayyi T. Alqahtani · International Journal of Modern Physics C · 2024
JO Olaleru, GA Okeke · Fixed Point Theory and Applications · 2013
Godwin Amechi Okeke, Austine Efut Ofem · Applied Mathematics-A Journal of Chinese Universities · 2023
Showing 6 of 17 known citations — external sources report more than can currently be individually listed.
Related research
- A Theorem for Zeros of Maximal Monotone and Bounded Maps in Certain Banach Spaces — shares topic coverage
- A New Iterative Algorithm for Zeros of Generalized Phi-strongly Monotone and Bounded Maps with Application — shares topic coverage
- Convergence Theorems on Generalized Strongly Successively Ø-pseudocontractive Mappings in the Intermediate Sense — shares topic coverage
- Characterization of Compact Operators in Pre-Hilbert and Hilbert Spaces — shares topic coverage
Article metrics
Real usage data collected on this platform.
61
Page views
0
PDF downloads
10
Outbound clicks
17
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.