Title of article :
Best proximity point theorems for multivalued mappings on partially ordered metric spaces
Author/Authors :
Pragadeeswarar ، V. - Amrita Vishwa Vidyapeetham , Marudai ، M. - Bharathidasan University , Kumam ، P. - King Mongkut s University of Technology Thonburi (KMUTT)
Abstract :
In this paper, we prove some best proximity point theorems for multivalued mappings in the setting of complete partially ordered metric spaces. As an application, we infer best proximity point and fixed point results for single valued mappings in partially ordered metric spaces. The results presented generalize and improve various known results from best proximity and fixed point theory.
Keywords :
Partially ordered set , optimal approximate solution , proximally increasing mapping , fixed point , best proximity point.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
