New algorithm for finding the solution of nonlinear matrix equations based on the weak condition with relation-theoretic F-contractions-Reference-Cited by-同舟云学术

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New algorithm for finding the solution of nonlinear matrix equations based on the weak condition with relation-theoretic F-contractions

Published:2021-03-10 Issue:2 Volume:23 Page:
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Sawangsup Kanokwan,Sintunavarat Wutiphol

Funder

Thammasat University Research Unit in Fixed Points and Optimization

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://link.springer.com/content/pdf/10.1007/s11784-021-00859-z.pdf

Reference15 articles.

1. Banach, S.: Sur les opérations dans les ensembles abstraits et leurs applications. Fund. Math. 3, 133–181 (1922)

2. Ran, A.C.M., Reurings, M.C.B.: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 132, 1435–1443 (2004)

3. Lim, Y.: Solving the nonlinear matrix equation $$X=Q+\sum _{i=1}^{m}M_{i}X^{\delta _{i}}M_{i}^{\ast }$$ via a contraction principle. Linear Algebra Appl. 430, 1380–1383 (2009)

4. Wardowski, D.: Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl. 2012, 94 (2012)

5. Piri, H., Kumam, P.: Some fixed point theorems concerning $$F$$-contraction in complete metric spaces. Fixed Point Theory Appl. 2014, 210 (2014)

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