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Background/Objectives: In this paper, we introduced the concept of aP f,g integral contractive mappings, which is a new class of integral contractive mappings and using this notion we establish a new fixed point theorem. Findings: Our paper represents a generalization and extension of fixed point theorems for mappings satisfying contractive conditions of integral type where the contractive inequality depends on rational and irrational expression. In particular, we omitted the condition ofdoi:10.17485/ijst/2016/v9i7/84188 fatcat:hf3bksoq2jgwdcj5dxhzwxt34i