A remark on Rhoades fixed point theorem for non-self mappings
Let X be a Banach space, K a non-empty closed subset of X and T:K→X a mapping satisfying the contractive definition (1.1) below and the condition T(∂K)⫅K. Then T has a unique fixed point in K. This result improves Theorem of Rhoades [1] and generalizes the corresponding theorem of Assad [2].
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129300047X |