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In this paper, we study some features of n-normed spaces with respect to norms of its quotient spaces. We define continuous functions with respect to the norms of its quotient spaces and show that all types of continuity are equivalent. We…

泛函分析 · 数学 2019-04-02 Harmanus Batkunde , Hendra Gunawan

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings…

泛函分析 · 数学 2022-09-21 T. L. Shateri , H. Isik

Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically $T$-regular mappings in the framework of preordered modular G-metric spaces. Our results are novel and generalizes several know results.…

泛函分析 · 数学 2021-04-27 Godwin Amechi Okeke , Daniel Francis

In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

一般拓扑 · 数学 2016-10-05 Hassen Aydi

The goal of this paper is to establish a general fixed point theorem for compact single-valued continuous mapping in Hausdorff p-vector spaces, and the fixed point theorem for upper semicontinuous set-valued mappings in Hausdorff locally…

泛函分析 · 数学 2023-04-13 George Xianzhi Yuan

We study properties of strongly separately continuous mappings defined on subsets of products of topological spaces equipped with the topology of pointwise convergence. In particular, we give a necessary and sufficient condition for a…

一般拓扑 · 数学 2014-11-26 Olena Karlova , Volodymyr Mykhaylyuk

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

经典分析与常微分方程 · 数学 2016-10-04 Sudip Kumar Pal , Manojit Maity

Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for $ F $-perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application…

度量几何 · 数学 2026-04-06 Dipti Barman , T. Bag

In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with…

一般拓扑 · 数学 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet

Banach's fixed point theorem in linear n-normed space is being developed. Also, we present several theorems on fixed points in linear n-normed space.

度量几何 · 数学 2022-10-17 Prasenjit Ghosh , T. K. Samanta

Our main aim in this paper is to introduce a general concept of multidimensional fixed point of a mapping in spaces with distance and establish various multidimensional fixed point results. This new concept simplifies the similar notion…

综合数学 · 数学 2017-01-04 Mitrofan M. Choban , Vasile Berinde

We establish a fixed point theorem for mappings of square matrices of all sizes which respect the matrix sizes and direct sums of matrices. The conclusions are stronger if such a mapping also respects matrix similarities, i.e., is a…

泛函分析 · 数学 2012-10-22 Gulnara Abduvalieva , Dmitry S. Kaliuzhnyi-Verbovetskyi

We survey several applications of fixed point theorems in the theory of invariant subspaces. The general idea is that a fixed point theorem applied to a suitable map yields the existence of invariant subspaces for an operator on a Banach…

算子代数 · 数学 2012-10-23 Rafa Espínola , Miguel Lacruz

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

泛函分析 · 数学 2021-03-26 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to…

泛函分析 · 数学 2009-03-10 A. Beiranvand , S. Moradi , M. Omid , H. Pazandeh

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

一般拓扑 · 数学 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin.…

一般拓扑 · 数学 2015-03-27 Guglielmo Feltrin

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

综合数学 · 数学 2019-10-09 Murat Kirişci , Necip Şimşek , Mahmut Akyiğit

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

泛函分析 · 数学 2026-03-24 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

Let C be a nonempty, bounded, closed, and convex subset of a Banach space X and $T : C \rightarrow C$ be a monotone asymptotic nonexpansive mapping. In this paper, we investigate the existence of fixed points of T. In particular, we…

泛函分析 · 数学 2016-10-04 Monther Rashed Alfuraidan , Mohamed Amine Khamsi