FIXED POINT THEOREMS OF ENRICHED CONTRACTION MAPPINGS IN n-BANACH SPACES

Abstract

In this paper, we introduce the (b,θ)-enriched contraction on a nonempty, closed, convex and bounded subset of an n-Banach space. In particular, we discuss the existence and uniqueness of a fixed point of such a mapping in nonempty, closed, convex and bounded subsets of an n-Banach space. Moreover, many results are established in the framework of n-Banach spaces.