In present paper we introduce the concepts of mixed g-monotone property and \Delta_g-symmetric property, where g is single valued mapping, for multi-valued mapping under any number of variables and use it to obtain some existence and uniqueness fixed points for hybrid pair of mappings under general contractive conditions in partially ordered metric spaces. Our results are generalizations of several results in this direction. We equipped this paper with examples in order to illustrate the effectiveness of our generalizations.