Fixed points for intimate mappings

Abstract

unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this paper, we introduce (ψ,φ)-weak contraction condition that involves cubic terms of distance function. We prove some fixed point theorems for pairs of intimate mappings satisfying newly introduced contraction condition and generalize the result of Murthy and Prasad [14] and Jain et al. [8]. At the end, an application for integral type contraction condition is given.