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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…

General Mathematics · Mathematics 2016-06-17 Talat Nazir , Sergei Silvestrov

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.…

General Mathematics · Mathematics 2025-05-08 Djamel Deghoul , Zoheir Chebel , Abdellatif Boureghda , Salah Benyoucef

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…

General Topology · Mathematics 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet

Our purpose of this paper is to focus on fixed point property in fuzzy metric space. To achieve our objective, we will introduce a new contraction condition to examine the fixed point for multi-valued mapping, then we will be investigating…

General Mathematics · Mathematics 2024-07-23 Ismail Tahiri , Ahmed Nuino

The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle,…

Functional Analysis · Mathematics 2025-05-27 Sanjay Roy , T. K. Samanta

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

General Topology · Mathematics 2007-05-23 Duran Turkoglu , Brian Fisher

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…

General Mathematics · Mathematics 2018-01-17 Deepesh Kumar Patel

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…

General Mathematics · Mathematics 2017-01-04 Mitrofan M. Choban , Vasile Berinde

We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)

Functional Analysis · Mathematics 2009-03-10 S. Moradi

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

Functional Analysis · Mathematics 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

Functional Analysis · Mathematics 2025-08-13 Elvin Rada

In this article, we derive a common fixed point result for a pair of single valued and set-valued mappings on a metric space having graphical structure. In this case, the set-valued map is assumed to be closed valued instead of closed and…

Functional Analysis · Mathematics 2023-01-24 Pallab Maiti , Asrifa Sultana

We establish a fixed-point theorem for the face maps that consist in deleting the $i$th entry of an ordered set. Furthermore, we show that there exists random finite sets of integers that are almost invariant under such deletions.…

Group Theory · Mathematics 2026-04-01 Tom Hutchcroft , Nicolas Monod , Omer Tamuz

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

General Topology · Mathematics 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the…

Metric Geometry · Mathematics 2025-05-27 Ovidiu Popescu , Cristina Maria Păcurar

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.

General Topology · Mathematics 2017-02-28 Yaé Olatoundji Gaba

In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is…

Functional Analysis · Mathematics 2020-02-04 Derya Sekman , Nour El Houda Bouzara , Vatan Karakaya

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…

General Mathematics · Mathematics 2023-06-09 Pooja Yadav , Mamta Kamra

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.

Classical Analysis and ODEs · Mathematics 2016-10-04 Sudip Kumar Pal , Manojit Maity

The purpose of this paper is to present some multidimensional fixed-point theorems and their applications. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of a…

Functional Analysis · Mathematics 2021-07-28 H. Akhadkulov , S. Akhatkulov , T. Y. Ying , R. Tilavov
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