Results 41 to 50 of about 27,775 (164)

On Various $g$-Topology in Statistical Metric Spaces

Universal Journal of Mathematics and Applications, 2019
The purpose of this paper is to analyze the significance of new $g$-topologies defined in statistical metric spaces and we prove various properties for the neighbourhoods defined by Thorp in statistical metric spaces.
V. Renukadevi, S. Vadakasi
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Tripled best proximity point in complete metric spaces

Open Mathematics, 2020
In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W. Shatanawi and A. Pitea and prove the existence and
Rohen Yumnam, Mlaiki Nabil
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Homotopical Models for Metric Spaces and Completeness

Applied Categorical Structures
45 pages.
Isaiah Dailey, Clara Huggins, Semir Mujevic, Chloe Shupe   +3 more
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Some approximate fixed point theorems without continuity of the operator using auxiliary functions [PDF]

Mathematica Bohemica, 2019
We introduce partial generalized convex contractions of order $4$ and rank $4$ using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in $\alpha ...
Sumit Chandok, Arslan Hojjat Ansari, Tulsi Dass Narang   +2 more
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New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces

Journal of Function Spaces
The first objective of the present manuscript is to introduce the notion of complex-valued Dc∗-metric spaces as generalizing and improving the idea of D∗-metric spaces by using the context of complex-valued metric space and D∗-metric spaces.
Nassar Aiman Majid, Alaa. M. F. AL. Jumaili, Zhen Chuan Ng, See Keong Lee   +3 more
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Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

Abstract and Applied Analysis, 2010
Some results of (Ćirić, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally 𝑇 complete cone metric spaces under the ...
Erdal Karapınar
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COINCIDENCE THEOREMS IN COMPLETE METRIC SPACES

Tamkang Journal of Mathematics, 1999
The purpose of this paper is to introduce new classes of generalized contractive type set-valued mappings and weakly dissipative mappings and to prove some coincidence theorems for these mappings by using the concept of $\omega$-distances.
Cho, Y. J., Huang, N. J., Xiang, L.
openaire   +3 more sources

Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Fixed Point Theory and Applications, 2011
In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial ...
Karapinar Erdal
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Coupled fixed point results on metric spaces defined by binary operations

Karpatsʹkì Matematičnì Publìkacìï, 2018
In parallel with the various generalizations of the Banach fixed point theorem in metric spaces, this theory is also transported to some different types of spaces including ultra metric spaces, fuzzy metric spaces, uniform spaces, partial metric spaces, $
A. Karami, R. Shakeri, S. Sedghi, І. Altun   +3 more
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Quasicone Metric Spaces and Generalizations of Caristi Kirk's Theorem

Fixed Point Theory and Applications, 2009
Cone-valued lower semicontinuous maps are used to generalize Cristi-Kirik's fixed point theorem to Cone metric spaces. The cone under consideration is assumed to be strongly minihedral and normal.
Karapinar Erdal, Abdeljawad Thabet
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