In the Bhagavadgita, Krishna says
पवनः पवतामस्मि रामः शस्त्रभृतामहम्।
झषाणां मकरश्चास्मि स्रोतसामस्मि जाह्नवी।।10.31।।
"Among the purifiers (or the speeders) I am the wind; Rama among the warriors am I; among the fishes I am the shark; among the streams
I am the Ganga."
In the Ramayana, Rama himself says, Mahadeva is his only equal.
अब्रवीच्च तदा रामः सुग्रीवं प्रत्यनन्तरम् |
विभीषणं च धर्मात्मा हनूमन्तं च वानरम् || ९३-६-३७
जाम्बवन्तं हरिश्रेष्ठं मैन्दं द्विविदमेव च |
एतदस्त्रबलन् दिव्यं मम वा त्र्यम्बकस्य वा || ९३-६-३८
Then, the virtuous Rama spoke also to Sugreeva, Vibhishana, Hanuma the
monkey, Jambavan, Mainda the foremost of monkeys and even Dvivida, who
were in close proximity to him as follows "Such wonderful power of
this missile exists either with me or with the three-eyed Rudra the
lord of destruction."
Rama is the superior warrior. He is undefeated , peerless and incomparable. How can we compare the parama purusha with a lesser being? Eswara is his only peer.