Dragon Ball Z Vegeta

Or Prince Vegeta is a character in Dragon Ball Z and Dragon Ball GT. He was created by the Japanese Mangaka, Akira Toriyama. He is the husband of Bulma, the father of Trunks and Bulla, and the estranged brother of Tarble. He is also the prince of the fallen Saiyan race and arch-rival to Goku. Aside from Goku, Gohan, and Piccolo, he is easily one of the most prominent characters in the series, receiving more character development after being introduced than a number of other characters. Vegeta's name is a pun off the first half of the word, "vegetable."

Vegeta And Bulma

Vegeta and Bulma initially meet on planet Namek, but neither actually talked to the other; Bulma was too frightened, and Vegeta did not care, especially when his main concern was to find the Dragon Balls. However, their first interaction with each other was prior to his battle with Zarbon, to which Vegeta threatened to kill both Bulma and Krillin. The first time any affection is displayed between them is in "Immortality Denied", in which Vegeta, during a conversation with Gohan, refers to Bulma as a "gorgeous girl" in the Ocean dub.

Despite their rocky start, Bulma was more than willing to put up with Vegeta, even if he scared her. Upon his resurrection after being killed by Frieza, and then being teleported to Earth, Bulma invites Vegeta to live at Capsule Corp as he has nowhere to go, on the condition that he does not touch her. Vegeta reluctantly accepts her offer, but quickly leaves Earth in search for Goku after he discovers his unwillingness to return back to Earth from the Namek Dragon. During his absence on Earth, Bulma begins to slowly but surely show signs of affection towards the Saiyan Prince, after having a dream about him; she also shows a deep concern for him after being informed that his ship is about to run out of fuel soon. Her then boyfriend Yamcha not only begins to get jealous, but also shows resentment towards Vegeta, who has no idea about Bulma's feelings towards him.

At one time, Vegeta is seriously injured after his training capsule explodes while he tries to train under 400 times Earth's gravity. Bulma shows immense concern for Vegeta and tries to convince him to stop training to rest. Vegeta defiantly attempts to return to his training, but collapses, and Bulma then takes him to Capsule Corp to nurse him back to health. Later, Vegeta awakes to find Bulma asleep beside him, and wonders why she's there. When Bulma sees Vegeta return to training, she firmly tells him to stop because of his injuries, but Vegeta refuses to listen, and shouts at her to leave him alone. This leaves Bulma feeling very bitter about Vegeta and his stubbornness for a while afterwards.

After approximately a year since Future Trunks' warning about the Androids, Bulma breaks up with Yamcha and gets romantically involved with Vegeta, ultimately leading to the conception of Trunks. However, even the birth of their son was not enough to bring the two together, as at that time Vegeta prioritized his rivalry with Goku before anything else, even his relationship with Bulma. Arguments were common between the two, with Bulma often calling Vegeta a "jerk" and Vegeta showing little to no care or emotion for either his son or his future wife; this was demonstrated during an incident in which Bulma's plane is destroyed and their lives are at risk. When Future Trunks saves the two and questions Vegeta as to why he didn't try to save them, Vegeta responds that he has "more important things to worry about than that foolish woman and her blasted child." Bulma later humiliates Vegeta in front of everyone when she says that every time he sticks his "ugly mug" up to Trunks, it makes Trunks cry, much to Krillin and Gohan's amusement. ("Follow Dr. Gero")

However, the seven years of peace that came after the conclusion of the Cell Games would suggest that the two settled their differences and began to have a much better relationship than previously. Vegeta eventually became fond of his family in the Majin Buu Saga, but is ashamed of himself for doing so, wanting to be the coldhearted prince he once was. Nonetheless, Vegeta eventually realizes what is really important in his life, and sacrifices himself to save his family and Earth when fighting Majin Buu. Another more comical show of his fondness towards Bulma can be seen in his angry reaction when he finds out that Goku promised Elder Kai that he could kiss her (in the original version, Goku promised to show Elder Kai some sexy pictures of Bulma), causing him to throw a fit, to which Goku's only reply being "your wife is prettier than mine!"

Source: http://dragonball.wikia.com/wiki/Vegeta