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This paper presents a new interval-based operator for continuous constrained global optimization. It is built upon a new filtering operator, named TEC, which constructs a bounded subtree using a Branch and Contract process and returns the parallel-to-axes hull of the leaf domains/boxes. Two extensions of TEC use the information contained in the leaf boxes of the TEC subtree to improve the two bounds of the objective function value: (i) for the lower bounding, a polyhedral hull of thedoi:10.1109/ictai.2016.0042 dblp:conf/ictai/SansCT16 fatcat:2xafsvalkfgsdliipibmxp73o4