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In this paper, we introduce and study the notions of θ-generalized- semi-open function, θ-generalized- semi-closed function,pre-θ-generalized- semi-open function,pre-θ-generalized-semi-closed function, contra pre- θ-generalized-semi-open,contra pre-θ-generalized-semi-closed function and θ-generlized-sem-homeomorphism in topological spaces and study their properties.

θ-GENERALIZED SEMI-OPEN AND θ-GENERALIZED SEMI-CLOSED FUNCTIONS