Some results in cone metric spaces with applications in homotopy theory
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The Self
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Abstract The self-mappings satisfying implicit relations were introduced in a previous study [Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacău 7 (1997), 129–133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under some additional conditions. We obtain a homotopy result as an application.
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2010 ◽
Vol 2010
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pp. 315398
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2013 ◽
Vol 87
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2014 ◽
Vol 2014
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2007 ◽
Vol 332
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pp. 1468-1476
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2015 ◽
Vol 2015
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