Lexical Definition

‎προκαλέομαι‎ prokaléomai (prok-al-eh'-om-ahee) to provoke ^G:V
middle voice from ‎πρό‎ and ‎καλέω‎

provoke.

• to call forth to oneself (challenge), i.e. (by implication) to irritate

Abbott-Smith

** προ-καλέω, -ῶ, [in LXX: II Mac 8:11 A*;]
to call forth. Most freq. in mid.,
(a) to challenge; hence, to provoke: Ga 5:26;
(b) to invite (II Mac 8:11).†

Abbott-Smith References

Liddell-Scott-Jones

προκαλέω-έω,

call forth, [Refs 2nd c.AD+]:—passive, [Refs 2nd c.BC+]; to be evoked, [Refs 4th c.BC+]

__B mostly middle, call out to fight, challenge, Αἴας δὲ πρῶτος προκαλέωέσσατο [προκαλέωέσσατο χάρμῃ [prev. work] 218 ">Refs 8th c.BC+]; so, later, π. εἰς ἀγῶνα [Refs 5th c.BC+]; ταῦτα π. τοὺς συνόντας thus.., [Refs 5th c.BC+]; challenge to drink, [Refs 5th c.BC+]; π. τινὰ συμπαίζει; συγγυμνάζεσθαι, [προκαλέωῇ, Σωκράτη εἰς λόγους προκαλέωούμενος,">Refs 6th c.BC+] of one who challenges another in his own department, [Refs 4th c.BC+]
__B.2 invite or summon, τινὰ ἐς λόγους [Refs 5th c.BC+]; [ἰχθῦς] πρὸς τὴν θήραν π. entice them out, [Refs 4th c.BC+]; πρὸς αὑτόν τινας endeavour to attach them to oneself, [Refs 2nd c.BC+]
__B.3 with accusative et infinitive, invite one to do.., [προκαλέωούμεθα ὑμᾶς φίλοι εἶναι καὶ ἐκ τῆς γῆς ἡμῶν ἀναχωρῆσαι 5th c.BC: Thucydides Historicus 5.112 ">Refs 5th c.BC+]; of things, αὐτὰ (i.e. τὰ πράγματα) προκαλέωεῖται παρασκευάζειν τι invite, admonish, [Refs 4th c.BC+] with infinitive, [Refs 5th c.BC+]
__B.4 absolutely, αὐτῶν προκαλέωεσαμένων at or after their invitation,[Refs 5th c.BC+]; appeal, προκαλέωεῖσθαι περί τινος ἐπὶ Ῥωμαίους [Refs 2nd c.BC+]
__B.II with accusative of things, offer, propose, δίκην [προκαλέωεῖσθαί τινας τὴν εἰρήνην">Refs 5th c.BC+] offer them peace, [Refs 5th c.BC+]
__B.II.2 law-term, make an offer or challenge to the opponent for bringing about a decision, e.g. for submitting the case to arbitration, letting slaves be put to the torture, etc., προκαλέωοῦνται πρόκλησιν ἡμᾶς [Refs 5th c.BC+]: with accusative person, challenge him, [Refs 5th c.BC+]; π. τινά τι make one an offer, [Refs 4th c.BC+]infinitive, π. τὴν μητέρα ὀμόσαι offer that she should take an oath, [Refs]: with infinitive only, π. ἐθέλειν ἐπιδεῖξαι [Refs] —passive, π. περὶ Ἐπιδάμνου ἐς κρίσιν Th.l.34.
__B.III call up or forth, εὐγένειαν [Refs 5th c.BC+]