Under Quasi Nonexpansive Mapping Generalization of Weak Convergence and Study of Fixed Point in Hilbert Space

Mohd Jamshed Ali; Richa Sharma; Virendra Singh Chouhan

Under Quasi Nonexpansive Mapping Generalization of Weak Convergence and Study of Fixed Point in Hilbert Space

Authors

Mohd Jamshed Ali Department of Mathematics and Statistics, Manipal University Jaipur, India https://orcid.org/0009-0005-3174-762X
Richa Sharma Department of Mathematics, Chandigarh University, Mohali (Punjab) https://orcid.org/0009-0005-3174-762X
Virendra Singh Chouhan Department of Mathematics and Statistics, Manipal University Jaipur, India https://orcid.org/0009-0005-3174-762X

Keywords:

Hilbert space, quasi-nonexpansive mappings, weak convergence.

Abstract

This manuscript proposes a generalization of weak convergence and study of fixed point in a real Hilbert space for quasi-nonexpanding maps. In this work, we introduce a class of fixed points theorems for nonexpansive mapping and generalized form of nonexpansive mapping under the Hilbert space. In addition, we obtained under quasi nonexpansive mapping weak convergence with respect to Hilbert space by Mann’s Type.

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Published

2024-04-25

How to Cite

Mohd Jamshed Ali, Richa Sharma, & Virendra Singh Chouhan. (2024). Under Quasi Nonexpansive Mapping Generalization of Weak Convergence and Study of Fixed Point in Hilbert Space. Journal of Computational Analysis and Applications (JoCAAA), 33(1A), 419–429. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/33