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Fixed Point and Multidimensional Fixed Point Theorems with Applications to Nonlinear Matrix Equations in Terms of Weak Altering Distance Functions by Kanokwan Sawangsup; Wutiphol Sintunavarat is a Mathematics article available to read on EtoBox.

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The aim of this work is to introduce the notion of weak altering distance functions and prove new fixed point theorems in metric spaces endowed with a transitive binary relation by using weak altering distance functions. We give some examples which support our main results where previous results in literature are not applicable. Then the main results of the paper are applied to the multidimensional fixed point results. As an application, we apply our main results to study a nonlinear matrix equation. Finally, as numerical experiments, we approximate the definite solution of a nonlinear matrix equation using MATLAB.

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Author

Kanokwan Sawangsup; Wutiphol Sintunavarat

Publisher

Walter de Gruyter GmbH

Published

2017

Language

EN

Field

Mathematics (Physical Sciences)