In this paper we introduce the Drazin geometric quasi-mean AdO?B = ||BAd|?A|2 for bounded conditional operator A and B in L2(?), where has closed range ? 0. addition, discuss some measure theoretic characterizations operators classes. Moreover, practical examples are provided to illustrate obtained results.

This paper introduces a new meta-heuristic technique, named geometric mean optimizer (GMO) that emulates the unique properties of operator in mathematics. can simultaneously evaluate fitness and diversity search agents space. In GMO, scaled objective values certain agent’s opposites is assigned to agent as its weight representing overall eligibility guide other process when solving an optimizat...