On Existence of Common Fixed Points Under Lipschitz-Type Mapping Pairs with Applications |
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Authors: | Ravindra K Bisht |
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Institution: | 1. Department of Mathematics, National Defence Academy, Khadakwasla, Pune, Indiaravindra.bisht@yahoo.com |
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Abstract: | In this paper, we propose some su?cient conditions to obtain the existence of common fixed points for a pair of self-mappings satisfying Lipschitz-type conditions in noncomplete metric space. Our results improve and extend the results of Pant Common fixed points of Lipschitz-type mapping pairs, J. Math. Anal. Appl. 240, (1999), 280–283] and Khan et al. Coincidences of Lipschitz-type hybrid maps and invariant approximation, Numer. Funct. Anal. Optim. 28(9–10), (2007), 1165–1177]. As an application of our results we solve an eigenvalue problem for operators defined on a normed space. |
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Keywords: | Eigenvalue eigenvector fixed point Lipschitz-type mapping |
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