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Fixed Point Theorems with Applications in Solutions of Matrix Equations

The principal goal of a review is to examine the work of Rahul Shukla, particularly his research on establishing new conditions for the existence and convergence of positive definite solutions to specific classes of matrix equations. His methodology relies on employing a monotone mapping within a partially ordered Banach Space, under defined assumptions, to ascertain the presence of a unique fixed point. Furthermore, he utilizes the Krasnosel'skiĭ iterative technique to approximate solutions for matrix equations. Through rigorous study, this review aims to gain insights and understanding into Shukla's approaches.

Keywords: fixed point, non expensive mapping, banach space ,matrix equations
Tools: python
Department: Department of Mathematics

Project Team Members

Name Email
Naila Saif naila2020@namal.edu.pk
Muhammad Farooq farooq2020@namal.edupk

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