We prove common fixed point theorem for a Banach pair of mappings satisfying T -Hardy-Rogers

type contraction condition in the setting of cone metric space. Our results shows a new direction

to the literature of common fixed point theorems related to T -contraction mappings, Banach pair

of mappings and cone metric space.

**Author(s) Details
Dr. R. Sumitra
**Department of Mathematics, Queen Mary’s College, Chennai-600004, Tamilnadu, India.

**Dr. V. Rhymend Uthariaraj
**Department of Information Technology, MIT Campus, Anna University Chennai, Chennai-600044,

Tamilnadu, India.

**Dr. R. Hemavathy
**Department of Mathematics, Queen Mary’s College, Chennai-600004, Tamilnadu, India.

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