Results 51 to 60 of about 27,775 (164)
Common Fixed-Point Theorems in Complete Generalized Metric Spaces
We introduce the notions of the 𝒲 function and 𝒮 function, and then we prove two common fixed point theorems in complete generalized metric spaces under contractive conditions with these two functions.
Chi-Ming Chen
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The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
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Nonlinear Contractions in 0-Complete Partial Metric Spaces
Using the setting of 0-complete partial metric spaces, some common fixed point results of maps that satisfy the nonlinear contractive conditions are obtained.
Abd Ghafur Bin Ahmad +3 more
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On the Yoneda completion of a quasi-metric space
The authors consider two notions for the completion of rather general classes of topological spaces: the Yoneda completion of generalized metric spaces and the Smyth completion. (Such considerations are motivated in part by earlier efforts to reconcile continuous domain theory and metric space theory within a common framework.) A net-theoretic version ...
Hans-Peter A. Künzi +1 more
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Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]
In this work, we provide the existence of common best proximity point for a given pair of non-self mappings in non-Archimedean neutrosophic complete metric spaces.
V. Pragadeeswarar, A. Sreelakshmi Unni
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Generalized multivalued $F$-weak contractions on complete metric spaces [PDF]
In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces.
Hossein Piri, Samira Rahrovi
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Asymmetric Completions of Partial Metric Spaces
Xun Ge and Shou Lin (2015) prove the existence and the uniqueness of $p$-Cauchy completions of partial metric spaces under symmetric denseness. They ask if every (non-empty) partial metric space $X$ has a $p$-Cauchy completion $\overline{X}$ such that $X$ is dense but not symmetrically dense in $\overline{X}$.
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Completion Of Cone Metric Spaces
In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence via the scalar norm of the Banach space E.
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A Common Fixed Point Theorem in
We give some new definitions of -metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete -metric spaces.
Shobe Nabi, Zhou Haiyun, Sedghi Shaban
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Metric dimension of complete metric spaces [PDF]
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