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pro vyhledávání: '"secondary 47h10"'
Autor:
Zhou, Mi, Petrov, Evgeniy
In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for this type of
Externí odkaz:
http://arxiv.org/abs/2410.20449
We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings. Additionally, we est
Externí odkaz:
http://arxiv.org/abs/2403.19702
Autor:
Petrov, Evgeniy
We consider a new type of mappings in metric spaces so-called mappings contracting total pairwise distance on $n$ points. It is shown that such mappings are continuous. A theorem on the existence of periodic points for such mappings is proved and the
Externí odkaz:
http://arxiv.org/abs/2402.02536
The aim of this paper is to characterize a fractal operator associated with multivariate fractal interpolation functions (FIFs) and study the several properties of this fractal operator. Further, with the help of this operator, we characterize a late
Externí odkaz:
http://arxiv.org/abs/2310.12276
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 1, Pp 65-84 (2024)
In this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder’s fixed point th
Externí odkaz:
https://doaj.org/article/b103629e41c149d6a7c0ee528a0e5d63
Autor:
Yildirim, Isa
In this paper, firstly, we introduce the concept of convexity in A-metric spaces and show that Mann iteration process converges to the unique fixed point of Zamfirescu type contractions in this newly defined convex A-metric space. Secondly, we define
Externí odkaz:
http://arxiv.org/abs/2101.06042
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 93-121 (2023)
In this article, a definition of a b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-best approximations of b(αn,βn){b}_{\left({\alpha }_{n},{\beta }_{n})}-hypermetric spaces over Banach algebras is given. Our objective is to prove the concept of e
Externí odkaz:
https://doaj.org/article/9ef7af3582494203af86bbdb67d14920
Autor:
Taş, Nihal, Özgür, Nihal
In this paper, we focus on the fixed-circle problem on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski's techniques and obtain new fixed-circle results related to multivalued contractions
Externí odkaz:
http://arxiv.org/abs/1911.02939
Autor:
Gupta, Anuradha, Rohilla, Manu
In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via $\mathbb{C}$
Externí odkaz:
http://arxiv.org/abs/1905.03653
Autor:
Acar Özlem
Publikováno v:
Topological Algebra and its Applications, Vol 10, Iss 1, Pp 227-232 (2022)
The present paper deals with new fixed point theorems by means of F−contraction. The results are present in spherically complete ultrametric space for single valued rational type mappings. The special cases of the results which reduce the existing
Externí odkaz:
https://doaj.org/article/60e82c56118449ba962fce0c951c94aa