Zobrazeno 1 - 10
of 1 138
pro vyhledávání: '"Best proximity point"'
Autor:
A. Sreelakshmi Unni, V. Pragadeeswarar
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-11 (2024)
Abstract In the present paper, we have obtained common best proximity point theorems of nonself maps in Hausdorff topological space. Further, our results extend the results due to Gerald F. Jungck, thereby proving a generalized version of Kirk’s th
Externí odkaz:
https://doaj.org/article/173ac4d0de7e42e8bfec34d7598e8046
Autor:
Akram Safari-Hafshejani
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 6, Iss 1, Pp 73-80 (2024)
In the paper, we introduce a new class of noncyclic $\varphi$-contractions as a generalization of the class of noncyclic contractions which was first introduced in the paper [R. Esp\'{i}nola, M. Gabeleh, On the structure of minimal sets of relatively
Externí odkaz:
https://doaj.org/article/671dd19346384746833aa62f94c75064
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-31 (2024)
Abstract The notion of A $\mathcal{A}$ -condensing operators via the measure of noncompactness is proposed, which retains the existing classes of condensing operators. Results concerning the existence of the best proximity point (pair) of cyclic (non
Externí odkaz:
https://doaj.org/article/f9a77382bc2f469b882c4bc8492d2c63
Autor:
Jowan Hassan
Publikováno v:
Wasit Journal for Pure Sciences, Vol 3, Iss 3 (2024)
The aim of this paper is to investigate the convergence of two types of iterative methods , that is Manna and Ishikawa to the optimal proximity points for cyclic Kannan and Chatterjee mappings defined on Banach spaces .
Externí odkaz:
https://doaj.org/article/33ed1850d28743a9985f39490bc0beb4
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9692-9704 (2024)
In this paper, we aim to overcome the problem given by Abkar et al. [Abstr. Appl. Anal., 2013 (2013), 189567], and so to obtain real generalizations of fixed point results in the literature. In this direction, we introduce a new class of functions, w
Externí odkaz:
https://doaj.org/article/51dce1b732394609944a2f41b86e2f8a
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8940-8960 (2024)
The purpose of this paper is to present a study of $ \alpha $-$ \eta $-type generalized $ F $-proximal contraction mappings in the framework of modular metric spaces and to prove some best proximity point theorems for these types of mappings. Some ex
Externí odkaz:
https://doaj.org/article/e1123392d3534afdb15d85a29ea42100
Autor:
Kamal Fallahi
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 21, Iss 1, Pp 291-305 (2024)
The underlying aim of this paper is first to state the Cyclic version of $\mathcal{K}$-quasi-contractive mappings introduced by Fallahi and Aghanians [On quasi-contractions in metric spaces with a graph, Hacet. J. Math. Stat. 45 (4) (2016), 1033-1047
Externí odkaz:
https://doaj.org/article/194a7f78d95c4e8c9b0fda5e37274b19
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract Cyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constit
Externí odkaz:
https://doaj.org/article/e9b7e7bdd7a74fe587951773dbc145f1
Autor:
Satyaj Tiwari, Monika Dewangan
Publikováno v:
Ratio Mathematica, Vol 51, Iss 0 (2024)
In this paper, we introduce an innovative category of contractions termed "cyclic Chatterjea type $F-$contraction" and "weak cyclic Kannan type $F-$contraction." Subsequently, we establish a theorem for determining the best proximity point in a unifo
Externí odkaz:
https://doaj.org/article/dc2ef9e49744411d9e85e387fde01170
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 3, Pp 339-353 (2023)
This paper explores the concept of normal structure by introducing a generalized form known as P-proximal normal structure. Focusing on the framework of Hausdorff locally convex spaces, the study establishes optimal proximity outcomes for both cyclic
Externí odkaz:
https://doaj.org/article/dcd8633a73104216813517ed17b02c5a