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

Kanokwan Sawangsup, and Wutiphol Sintunavarat. "Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions." Open Mathematics 15.1 (2017): 111-125. <http://eudml.org/doc/288002>.

@article{KanokwanSawangsup2017,
abstract = {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.},
author = {Kanokwan Sawangsup, Wutiphol Sintunavarat},
journal = {Open Mathematics},
keywords = {Altering distance functions; Transitive relations; Weak altering distance functions; altering distance functions; transitive relations; weak altering distance functions},
language = {eng},
number = {1},
pages = {111-125},
title = {Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions},
url = {http://eudml.org/doc/288002},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Kanokwan Sawangsup
AU - Wutiphol Sintunavarat
TI - Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 111
EP - 125
AB - 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.
LA - eng
KW - Altering distance functions; Transitive relations; Weak altering distance functions; altering distance functions; transitive relations; weak altering distance functions
UR - http://eudml.org/doc/288002
ER -