%0 Journal Article %T Consequences of shadowing property of G-spaces %A E. Shah %A T. Das %J International Journal of Mathematical Analysis %D 2013 %I %X We define and study the notion of minimality and specificationfor a self homeomorphism of a metric G space X. Using G minimality, weobtain a class of maps which do not have the G shadowing property. Further,we obtain a sufficient condition for G expansive homeomorphisms withG shadowing property to have G specification property. %K Shadowing Property %K Expansive Homeomorphism %K Minimal Homeomorphism %K Specification Property %K Metric G space %U http://www.m-hikari.com/ijma/ijma-2013/ijma-9-12-2013/shahektaIJMA9-12-2013.pdf