On modified $$\mathcal {Z}$$ Z -contractions and an iterative scheme for solving nonlinear matrix equations

Author:

Sawangsup Kanokwan,Sintunavarat Wutiphol

Funder

Thailand Research Fund

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Reference36 articles.

1. 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 (2003)

2. Ben-El-Mechaiekh, H.: The Ran–Reurings fixed point theorem without partial order: a simple proof. J. Fixed Point Theory Appl. 16, 373–383 (2014)

3. Nieto, J.J., Rodŕguez-opez, R.: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 22, 223–239 (2005)

4. Nieto, J.J., Rodŕguez-opez, R.: Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Acta Math. Sin. (Engl. Ser.) 23, 2205–2212 (2007)

5. Turinici, M.: Ran–Reurings fixed point results in ordered metric spaces. Libertas Math. 31, 49–55 (2011)

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