The incident took place on the evening of December 31 when the woman came out of the mall's washroom and the unidentified man allegedly pushed her and attacked with a blunt object, police said.
Victim Deepika has been admitted to a hospital with injuries on her head while the man still remains on the run.
Police said the suspect was captured by a CCTV camera installed in the mall but he was yet to be identified as no one known to the woman could identify him.
On the evening of December 31, she had got a call from her family asking her to join them at V3S Mall in Preet Vihar.
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Police said the woman arrived at the mall by metro from her work place and joined her family for the outing. When she came out of a washroom in the mall, she was suddenly attacked.
She told the police that an unidentified man pushed her inside the washroom and attacked her with a blunt object on her head.
Police has registered a case of attempt to commit culpable homicide against the man based on the woman's statement. She told police that she was unaware of her enmity with anyone.