Abstract

In this paper, we prove common fixed point theorems for Generalized Suzuki Contractions (abbreviated as GSC) involving two semi-topological semigroups of self-mappings $$S_{1}$$ and $$S_{2}$$ , besides establishing the existence of a left invariant mean (abbreviated as LIM) on the space of all weakly almost periodic functions on $$S_{1}\cap S_{2}$$ (abbreviated as $$WAP(S_{1}\cap S_{2})$$ ).

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