Open AccessWeak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings
Author(s) -
Lmo Agwu,
Donatus Ikechi Igbokwe
Publication year - 2022
Publication title -
european journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2733-3957
DOI - 10.28924/ada/ma.2.10
Subject(s) - lipschitz continuity , convergence (economics) , projection (relational algebra) , mathematics , type (biology) , compact space , scheme (mathematics) , fixed point , fixed point theorem , operator (biology) , weak convergence , space (punctuation) , pure mathematics , mathematical analysis , computer science , algorithm , ecology , biochemistry , chemistry , computer security , repressor , gene , transcription factor , economics , asset (computer security) , biology , economic growth , operating system
In this paper, we establish weak and strong convergence theorems of a two-step modified projection-type Ishikawa iterative scheme to the fixed point of α-hemicontractive mappings without any compactness assumption on the operator or the space. Our results extend, improve and generalize several previously known results of the existing literature.