Generalized cone b-metric spaces and contraction principles

Reny George, Hossam A. Nabwey, K. P. Reshma, R. Rajagopalan

The concept of generalized cone b-metric space is introduced as a generalization of cone metric space, cone b-metric space and cone rectangular metric space. An analogue of Banach contraction principle and Kannan's fixed point theorem is proved in this space. Our result generalizes many known results in fixed point theory.