Fixed Point Theorem in Multidimensional Partially Ordered Set in Neutrosophic Metric Spaces
V.B. Shakila
Department of Mathematics, Sourashtra College, Madurai, Tamil Nadu, India.
M. Jeyaraman
*
P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Aliated to Alagappa University, Karaikudi, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the author gave the idea of \(\Xi\)- isotone map and g-monotone property using \(\Xi\)-isotone mapping the author proved that there is a conicidence point for two self mappings in partially ordered set in neutrosophic metric spaces. Additionally if \(\Xi\) is weakly compatible then the two mappings have a common fixed point.
Keywords: Common fixed point, coincidence point, neutrosophic metric spaces, \(\phi\)-weakly compatible, \(\Xi\)-isotone;, g-monotone