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Generalized (rational) graph contractions in the framework of a dislocated metric space endowed with a directed graph are investigated. Fixed point results for set-contractions are obtained. We also provide some examples to illustrate our…

Combinatorics · Mathematics 2023-08-09 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

General Mathematics · Mathematics 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by…

General Mathematics · Mathematics 2018-02-02 Ibrahim Karahan

In their recent paper [Phys. Rev. Lett. 98, 094101 (2007)], A. Porporato et al. studied the irreversibility and fluctuation theorem for stationary time series. In this comment, we point out that the fluctuation theorem is in fact the…

Statistical Mechanics · Physics 2007-05-23 C. Van den Broeck , B. Cleuren

Comment on paper "Towards a bulk theory of flexoelectricity" by R.Resta [Phys.Rew. Lett. v. 105, 127601 (2010)]

Other Condensed Matter · Physics 2010-12-13 Alexander K. Tagantsev

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

We present a counter example to a theorem given by Amir {\em et al.} J. Math. Phys. {\bf 35}, 3005 (1994). We also comment on a misleading statements of the same reference.

General Relativity and Quantum Cosmology · Physics 2009-10-28 R. Bertolotti , G. Contreras , L. A. Núñez , U. Percoco , J. Carot

We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely…

General Topology · Mathematics 2018-12-13 Laurence Boxer

The concept of additive basis has been investigated in the literature for several mathematicians which works with number theorem. Recently, the concept of finitely stable additive basis was introduced. In this note we provide a…

Number Theory · Mathematics 2021-12-02 Lucas Y. Obata , Luan A. Ferreira , Giuliano G. La Guardia

In \cite[\, An, V.T., Tuyen, Q.L. and Dung, V.N., Stone-type theorem on $b$-metric spaces and applications, Topology Appl. 185-186 (2015), 50-64.]{an}, An et al. had provided a sufficient condition for $b$-metric spaces to be metrizable.…

General Topology · Mathematics 2020-05-28 Sumit Som , Adrian Petrusel , Lakshmi Kanta Dey

Some known fixed point theorems for nonexpansive mappings in metric spaces are extended here to the case of primitive uniform spaces. The reasoning presented in the proofs seems to be a natural way to obtain other general results.

General Topology · Mathematics 2021-04-09 Lech Pasicki

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

The fixed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal [Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms of anticipative contractions over the associated…

General Topology · Mathematics 2013-10-08 Mihai Turinici

We extend the notion of effective resistance to metric spaces that are similar to graphs but can also be similar to fractals. Combined with other basic facts proved in the paper, this lays the ground for a construction of Brownian Motion on…

General Topology · Mathematics 2014-01-24 Agelos Georgakopoulos

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version of Kirk's fixed point theorem is given for asymptotic contractions and…

Classical Analysis and ODEs · Mathematics 2013-05-17 A. Aghanians , K. Fallahi , K. Nourouzi

The manuscript contains elegant extensions of the fundamental variational principles: Br\o ndsted's and Ekeland's. On the other hand we get general and precise version of the Takahashi and the Cariste fixed point theorems. The results are…

Functional Analysis · Mathematics 2021-04-19 Lech Pasicki

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

We summarize recent progress in the understanding of fixed point resolution for conformal field theories. Fixed points in both coset conformal field theories and non-diagonal modular invariants which describe simple current extensions of…

High Energy Physics - Theory · Physics 2007-05-23 J. Fuchs , A. N. Schellekens , C. Schweigert

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

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
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