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In this paper, we define a new implicit function which includes a majority of contractions of the existing literature of metric fixed point theory and then utilize the same to prove a general common fixed point theorem for two pairs of weakly compatible mappings satisfying the common property (E. A). In the process, a host of previously known results are improved and generalized. Some related results are derived besides furnishing illustrative examples. 2000 Mathematics Subject Classification. 47H10, 54H25
Ali et al. (Tue,) studied this question.