Iterative construction of fixed points |
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Authors: | S.N. Mishra A.K. Kalinde |
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Affiliation: | 1. Department of Mathematics , University of Transkei , South Africa, 5100;2. Department of Mathematics , University of Fort Hare , South Africa |
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Abstract: | Abstract, It is proved that an Ishikawa—type iteration scheme converges to the fixed point of a generalized contraction map in a convex metric space. The class of generalized contraction maps includes all quasi—contraction maps. Our theorem generalizes some recent important known results |
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