Abstracto

Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces

Dipankar Das, NilakshiGoswami

In this paper, we derive some fixed point theorems in the projective tensor product ) of two Banach spaces X and Y. Using two mappings and , we construct a self-mapping T on . Taking and as different contractive type mappings, we study the characteristics of the mapping T and the existence and the uniqueness of the fixed point of T in the closed unit ball of . The converse of this result is also discussed here.