Key points are not available for this paper at this time.
The following theorem is the principal result of this paper. Let (M, d) be a metric space and T a self-mapping of M satisfying the condition for x,y ∊ M 1 where a, b, c, e,f are nonnegative and we set α=a+b+c+e+f.
Hardy et al. (Fri,) studied this question.
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