A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The second author [3] proved two fixed point theorems involving more general contractive conditions. In this paper, we establish a general principle, which makes it possible to prove many fixed point theorems for a pair of maps of integral type. Define Φ= {φ : φ :R+ →R} such that φ is nonnegative, Lebesgue integrable, and satisfies ∫