Results 51 to 60 of about 27,775 (164)

Common Fixed-Point Theorems in Complete Generalized Metric Spaces

open access: yesJournal of Applied Mathematics, 2012
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
doaj   +1 more source

Invariant idempotent measures

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
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
doaj   +1 more source

Nonlinear Contractions in 0-Complete Partial Metric Spaces

open access: yesAbstract and Applied Analysis, 2012
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
doaj   +1 more source

On the Yoneda completion of a quasi-metric space

open access: yesTheoretical Computer Science, 2002
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
openaire   +3 more sources

Common Best Proximity Point Theorems in Neutrosophic Complete Metric Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
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
doaj   +1 more source

Generalized multivalued $F$-weak contractions on complete metric spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2015
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
doaj  

Asymmetric Completions of Partial Metric Spaces

open access: yesTopology Proceedings, 2020
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 $\overline{X}$.
openaire   +3 more sources

Completion Of Cone Metric Spaces

open access: yes, 2009
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.
openaire   +3 more sources

A Common Fixed Point Theorem in -Metric Spaces

open access: yesFixed Point Theory and Applications, 2007
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
doaj  

Metric dimension of complete metric spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
openaire   +1 more source

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