Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings | Zendy

Lmo Agwu | Zendy; Donatus Ikechi Igbokwe | Zendy

Open Access

Weak 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.

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