Fixed point theorems for uniformly generalized Kannan type semigroup of self-mappings

DOI: https://doi.org/10.37193/CMI.2017.02.12

In this paper, we consider a new uniformly generalized Kannan type semigroup of self-mappings defined on a closed convex subset of a real Banach space equipped with uniform normal structure and employ the same to show that such semigroup of self-mappings admits a common fixed point provided the underlying semigroup of self-mappings has a bounded orbit.