The term "vied with" means to compete with someone or something for a particular goal or achievement. Antonyms for this phrase could be cooperation, collaboration, or support. Instead of competing with someone, individuals can work together towards a common goal, sharing ideas and resources. Another antonym could be surrender, which means to give up and concede defeat, rather than continuing to compete. Moreover, peaceful coexistence could be an antonym for vied with, where individuals or groups exist together harmoniously without aggressive competition or conflict. Ultimately, instead of vying with one another, cooperation and peaceful coexistence can lead to positive outcomes for all parties involved.