UNIQUE COMMON FIXED POINT THEOREMS FOR SELF-MAPPINGS ON HILBERT SPACE
Keywords:
Hilbert space, closed subset, Cauchy sequence, completeness
Abstract
In this paper we have investigated a common fixed point for a pair and a sequence of self mappings over a closed subset of Hilbert space satisfying certain contraction inequalities involving rational square expressions as well as some positive powers of the terms. Finally these results are generalized for taking positive integers powers of the self mappings over the spaces which are generalizations of well-known results.
