• Satish Kumar

In 2007, Huang and Zhang gives normal cone metric space and creat the Banach Contraction Principal in this generalized metric space setting.After this Rezapour and Hamlbarani showed that there are non normal cones and the condition of normality is not necessary. In this paper we establish new fixed point and common fixed point theorems for cone metric spaces for constractions defined over both normal and non normal cone,addressing a significant gap in the existing theory.

Topological fixed point,Discrete fixed point,Cone metric space,Non normal cone,Kannan type contraction,Interior point contraction

"Some Fixed Point Theorems With Different Types of Contraction Mappings in Normal Cone and Non normal cone Metric Spaces", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 9, page no.a252-a265, September-2026, Available :http://www.jetir.org/papers/JETIR2609030.pdf

"Some Fixed Point Theorems With Different Types of Contraction Mappings in Normal Cone and Non normal cone Metric Spaces", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 9, page no. ppa252-a265, September-2026, Available at : http://www.jetir.org/papers/JETIR2609030.pdf