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In this paper, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

泛函分析 · 数学 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

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

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in $\alpha$-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well-known…

综合数学 · 数学 2018-01-17 Deepesh Kumar Patel

This paper considers generalizations of open mappings, closed mappings, pseudo-open mappings, and quotient mappings from topological spaces to generalized topological spaces. Characterizations of these classes of mappings are obtained and…

一般拓扑 · 数学 2021-03-09 Xun Ge , Jianhua Gong , Ivan Reilly

An overview of some of the recent developments in the theory of valuations on convex sets and its generalizations to manifolds is given. The exposition is focused towards applications to integral geometry; several of such applications are…

度量几何 · 数学 2010-08-30 Semyon Alesker

Using the setting of ordered metric spaces, we obtain common end point of two multivalued mappings satisfying a generalized $(\psi,\varphi)$-weak contractive condition. Under comparative condition on the set of end points of multivalued…

度量几何 · 数学 2023-05-17 Talat Nazir , Sergei Silvestrov

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…

度量几何 · 数学 2025-06-09 Nihal Taş , Nihal Özgür

In this article, we introduce a new type of mapping contracting perimeters of triangles in a complete metric space and present related fixed point theorem. We study the metric completeness property of the underlying space in terms of fixed…

泛函分析 · 数学 2026-01-16 Tanusri Senapati

The aim of the current paper is to introduce a new class of contractive mappings, which are contracting (a feature of) triangles. We prove that maps contracting triangles are continuous and give the fixed point result for such mappings. We…

一般拓扑 · 数学 2024-03-29 Ovidiu Popescu , Cristina Maria Pacurar

In this paper, we introduce the concept of multivalued $\lambda $% -contracting perimeters of triangles. This concept generalizes the Nadler's contraction by considering triplets of points instead of pairs. Fundamental properties of such…

泛函分析 · 数学 2026-05-14 Hakan Sahin , Mustafa Aslantas , Ishak ALtun

In this paper, we study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems…

综合数学 · 数学 2016-06-17 Talat Nazir , Sergei Silvestrov

In this paper we introduce and study new classes of mappings in metric spaces. The main class of mappings is called generalized orbital triangular contractions and it generalizes some existing results (such as Banach contractions, mappings…

一般拓扑 · 数学 2024-04-25 Cristina Maria Pacurar , Ovidiu Popescu

This paper is devoted to studying of some properties of multivalued mappings in Euclidean space. There were proved theorems on a fixed point for multivalued mappings whose restrictions to some subset in the closure of a domain satisfy "a…

复变函数 · 数学 2013-10-11 Yuri Zelinskii , Maxim Tkachuk , Bogdan Klishchuk

In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approach for generalized differentiation of nearly convex…

最优化与控制 · 数学 2023-02-20 Nguyen Mau Nam , Nguyen Nang Thieu , Nguyen Dong Yen

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

综合数学 · 数学 2020-02-04 Derya Sekman , Vatan Karakaya

We present a generalization of multiview varieties as closures of images obtained by projecting subspaces of a given dimension onto several views, from the photographic and geometric points of view. Motivated by applications in Computer…

代数几何 · 数学 2024-04-05 Felix Rydell

We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous. The fixed-point theorem for such mappings is proved and the…

一般拓扑 · 数学 2023-08-03 Evgeniy Petrov

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

In this paper, we prove the existence of a common end point for a pair of multivalued mappings satisfying a new generalized weakly contractive condition in a complete metric space. Our result generalizes and extends many known results.

泛函分析 · 数学 2011-02-09 Ali Abkar , Mohammad Eslamian

In this article, we demonstrate the common fixed point theorems for three transformations on vector S-metric space by utilizing weakly compatible and point of coincidence. Moreover, some of our results generalize the existing results in the…

综合数学 · 数学 2023-06-09 Pooja Yadav , Mamta Kamra
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