Affiliation:
1. Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand
Abstract
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.
Reference64 articles.
1. Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces;Fixed Point Theory Appl,2013
2. Fixed point theorems for weakly contraction mappings in partially ordered sets;Nonlinear Anal,2009
3. Global attractivity results for mixed monotone mappings in partially ordered complete metric spaces;Fixed Point Theory Appl,2009
4. Fixed point theorems in partially ordered metric spaces and applications;Nonlinear Anal,2006
5. A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations;Nonlinear Anal,2010
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