KKM mappings in cone b-metric spaces
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Some topological properties of the cone b -metric spaces are established and some fixed point existence results for multivalued mappings defined on such spaces are proved.Abstract:
In this paper we establish some topological properties of the cone b-metric spaces and then improve some recent results about KKM mappings in the setting of a cone b-metric space. We also prove some fixed point existence results for multivalued mappings defined on such spaces.read more
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Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
TL;DR: In this article, the generalized weak contractive condition in partially ordered complete b-metric spaces was shown to hold for four mappings satisfying generalized weak contractsive condition, and the results extended and improved several comparable results in existing literature.
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Suzuki-type fixed point results in metric type spaces
TL;DR: In this article, Suzuki's fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) were extended to the case of metric type spaces and cone metric types.
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Common fixed points of almost generalized "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractive mappings in ordered b-metric spaces
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Fixed point and coupled fixed point theorems on b-metric-like spaces
TL;DR: In this paper, the authors introduced the concept of b-metric-like space which generalizes the notions of partial metric spaces, metric-like spaces, and bmetric space.
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Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations
TL;DR: In this paper, the authors present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space and extend several earlier works.
References
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Journal ArticleDOI
Cone metric spaces and fixed point theorems of contractive mappings
Long-Guang Huang,Xian Zhang +1 more
TL;DR: In this paper, the authors introduce cone metric spaces and prove fixed point theorems of contractive mappings on these spaces, and prove some fixed point properties of the mappings.
Some notes on the paper "Cone metric spaces and fixed point theorems
TL;DR: In this paper, Huang et al. showed that there are no normal cones with normal constant M 1 and for each k > 1 there are cones with normalized constant M > k, and that for non-normal cones and omitting the assumption of normality in some results of Huang and Zhang, they obtained generalizations of the results.
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Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings"
Sh. Rezapour,R. Hamlbarani +1 more
TL;DR: In this paper, Huang et al. showed that there are no normal cones with normal constant M 1 and for each k > 1 there are cones with normalized constant M > k.