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In this paper, the notion of convexity of picture fuzzy multisets was introduced and some of their properties were presented after studying the concept of picture fuzzy multisets.

General Mathematics · Mathematics 2026-03-25 Taiwo O. Sangodapo

In this paper we review some properties of fuzzy observables, mainly as realized by commutative positive operator valued measures. In this context we discuss two representation theorems for commutative positive operator valued measures in…

Quantum Physics · Physics 2009-07-01 S. Twareque Ali , Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

In this paper the notion of modular cone metric space is introduced and some properties of such spaces are investigated. Also we define convex modular cone metric which takes values in CR(Y) where Y is a compact Hausdorff space. Then a…

Functional Analysis · Mathematics 2013-10-15 Saeedeh Shamsi Gamchi , Mohammad Janfada , Asadollah Niknam

In this paper, the existence of coincidence points and common fixed points for multivalued mappings satisfying certain graphic {\psi}-contraction contractive conditions with set-valued domain endowed with a graph, without appealing to…

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

In this article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at…

General Topology · Mathematics 2017-03-27 Yaé Olatoundji Gaba

In this paper we give some relationship between G-metric spaces, partial metric spaces and GP-metric spaces.

General Topology · Mathematics 2019-06-04 Mohammad Reza Ahmadi Zand , Homa Golvardi Yazdi

In this paper, we present an integral Suzuki-type fixed point theorem for multivalued mappings defined on a complete metric space in terms of the \'{C}iri\'{c} integral contractions. As an application, we will prove an existence and…

Functional Analysis · Mathematics 2020-09-21 Sokol Bush Kaliaj

We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space $X$ into $X$, and the second with an…

Functional Analysis · Mathematics 2018-03-08 Daniel Reem , Simeon Reich , Alexander J. Zaslavski

This paper is concerning to the geometric study of fixed points of a self-mapping on a metric space. We establish new generalized contractive conditions which ensure that a self-mapping has a fixed disc or a fixed circle. We introduce the…

Metric Geometry · Mathematics 2025-06-09 Nihal Özgür , Nihal Taş

Recently many papers on cone metric spaces have been appeared, and main topological properties of such spaces have been obtained. A cone metric space is Hausdorff, and first countable, so the topology of it coincides with a topology induced…

General Topology · Mathematics 2012-07-25 AyŞE SÖnmez

By iterative techniques,we present two fixed point theorems, whose modular formulations are relatively close to the Banach's fixed point theorem in the normed spaces.The first result concerns the fixed point of the strongly contraction…

Functional Analysis · Mathematics 2016-09-07 Hanebaly Elaidi

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…

Functional Analysis · Mathematics 2026-03-24 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

In this paper, we study fixed points of N-point gravitational lenses. We use complex form of lens mapping to study fixed points. Complex form has an advantage over coordinate one because we can describe N-point gravitational lens by system…

Classical Physics · Physics 2019-01-09 Albert Kotvytskiy , Volodymir Shablenko , Evgenij Bronza

We introduce the concept of $\it{ startpoint}$ and $\it{endpoint}$ for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued…

Functional Analysis · Mathematics 2014-08-25 Yaé Ulrich Gaba

In this paper, contractive mappings of \'Ciri\'c-Matkowski type in fuzzy metric spaces are studied. A class $\Psi_1$ of gauge functions $\psi:(0,1]\to(0,1]$ such that, for any $r\in(0,1)$, there exists $\rho\in(r,1)$ such that $1-r> \tau…

General Mathematics · Mathematics 2023-02-02 Mortaza Abtahi

In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.

Functional Analysis · Mathematics 2024-10-08 Hafida Massit , Mohamed Rossafi , Choonkil Park

We shall generalize the concept of $z=(1-t)x\oplus ty$ to $n$ times which contains to verifying some their properties and inequalities in CAT(0) spaces. In the sequel with introducing of $\alpha$-nonexpansive mappings, we obtain some fixed…

Functional Analysis · Mathematics 2012-05-31 Mehdi Asadi , Hossein Soleimani

From last decade, when Molodtsov introduced the theory of soft set as a new approach to deal with uncertainties, until now this theory was considered sharply by a fair number of researchers. Combination of fuzzy set theory and soft set…

Functional Analysis · Mathematics 2013-09-20 Azadeh Zahedi Khameneh , Adem Kilicman , Abdul Razak Salleh

The notion of a (metric) modular on an arbitrary set and the corresponding modular space, more general than a metric space, were introduced and studied recently by the author [V. V. Chistyakov, Metric modulars and their application, Dokl.…

Functional Analysis · Mathematics 2013-05-29 Vyacheslav V. Chistyakov

The major motives of this paper are to study different types of contractive mappings and also to answer an open question of Garai et al. [The contractive principle for mappings in $b_v(s)$-metric spaces, arXiv:1802.03136]. We first set up…

Metric Geometry · Mathematics 2020-05-12 Pratikshan Mondal , Hiranmoy Garai , Lakshmi Kanta Dey
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