New results on fixed point theorems in <i>n</i> -Banach spaces

Abstract In this article we prove a common fixed point result for interpolative Kannan type contraction mappings in a nonempty, closed and bounded subset with respect to n linearly independent vectors in an n -Banach space. On the other hand, we introduce interpolative Dass and Gupta rational type contraction mappings on a nonempty, closed and bounded subset with respect to n linearly independent vectors in an n -Banach space. In particular, we discuss the existence and uniqueness of a fixed point of such a mapping on a nonempty, closed and bounded subset with respect to n linearly independent vectors in an n -Banach space.