Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions

• Autorzy: Kanokwan Sawangsup , Wutiphol Sintunavarat
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Altering distance functions; Transitive relations; Weak altering distance functions

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 111-125

Daty

wydano

2017-01-01

otrzymano

2016-06-05

zaakceptowano

2016-12-03

online

2017-02-26

Twórcy

autor

Kanokwan Sawangsup

• Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121,

autor

Wutiphol Sintunavarat

• Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121,

Identyfikatory

DOI

10.1515/math-2017-0012