Arhivă — Seria A

1

ON BOUNDING PROPERTIES OF GENERALIZED ISOSCELES GEOMETRIC CONSTANT

Kallal Pal, Sumit CHANDOK

Motivated by the isosceles orthogonality, we introduce a new geometric constant and investigate its bounds in normed spaces and inner product spaces. We obtain the characterization of inner product spaces, uniformly non-square spaces, and superreflexive Banach spaces. Through this geometric constant, we find that a Ban…

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2

FIXED POINT RESULTS ON A CLOSED BALL IN A COMPLETE CONTINUOUS CONTROLLED METRIC SPACE WITH APPLICATIONS

Mahmood Akhtar KHAN, Abdullah SHOAIB

In this study, complete continuous controlled metric spaces have been discussed. Existence of the fixed points for the mappings satisfying contractive conditions on closed balls in such spaces have been ensured. Additionally, a concrete example is provided to validate our results. Finally, the practical implications of…

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3

SOLVING SOME DIFFERENTIAL EQUATIONS WITH NEUTRAL DEVIATION ARGUMENTS USING SEVERAL GENERALIZATIONS OF DARBO THEOREM

Farnaz Soltanpour, Hamid Majani, Ali Shole Haghighi

The target of this article is to provide a few extensions of Darbo theorem us- ing the techniques of family of measures of noncompactness (FMN) in a Fr´echet space. Several interconnections among assumptions imposed in the proved theorems are indicated. We also show the applicability of the mentioned results to solve s…

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4

SOME FIXED POINT RESULTS FOR QUADRILATERALS PERIMETER CONTRACTION IN b-METRIC SPACE

Thanggoulien, L Thangmawia, Nehjamang Haokip

In this paper, mappings called ‘quadrilaterals perimeter contraction’ in b- metric spaces is introduced and some fixed point results are obtained and justified with suitable examples. The quadrilaterals perimeter contraction mappings are also compared with an existing class of mappings called mappings contracting perim…

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5

A NOVEL SOFT FRACTIONAL IDEALS APPROACH TO CHARACTERIZE DEDEKIND DOMAINS

Tasaduk Rashid Mir, M. Yahya Abbasi, Bijan Davvaz

A solid mathematical method for handling uncertainty is offered by the Molodtsov-conceived notion of soft sets. This study investigates the benefits of using soft set theory methods, opening the door for creative approaches to soft multiplicative ideal theory research. Our findings demonstrate that a finite minimal gen…

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6

D-SHADOWING PROPERTY OF G-SPACES AND THEIR ORBIT SPACES

Yingcui ZHAO

We introduce the definitions of d-shadowing, asymptotic average shadowing properties and study various of transitive, chain transitive properties for the map f on G-spaces. We show that d-shadowing of f is iteration-invariant, and f and its corresponding induced map bf are equivalent in terms of the above dynamical pro…

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7

ESSENTIAL CONTRACTIBILITY OF BANACH ALGEBRAS

Batoul S. Mortazavi-Samarin, Mehdi Rostami, Amir Sahami

In this paper, a new notion, essential contractibility of Banach algebras, is introduced and some of its properties are examined. The main result is to investigate the essential contractibility of (symmetric abstract) Segal algebras

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8

CHARACTERIZATION OF QUASICOMMUTING GRAPHS OF COMPLETELY SIMPLE SEMIGROUPS

Defne SOMER, Didem YEŞIL

In this paper, we introduce the notion of the quasi-center of a semigroup. Based on this concept, we define the quasicommuting graph and the extended quasicommuting graph associated with a semigroup. We show that the extended commuting graph of a semigroup is always a subgraph of its extended quasicommuting graph. We f…

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9

ON THE ARITHMETIC PROPERTIES OF PARTITIONS INTO PARTS SIMULTANEOUSLY 4-REGULAR AND 9-DISTINCT

Mohammed L. Nadji and Moussa Ahmia

In 2017, Keith presented a survey of several restricted partition functions. Following this, the authors initiated an arithmetic and combinatorial study of partitions that are both ℓ-regular (parts indivisible by ℓ) and t-distinct (parts appearing fewer than t times). Denoting the number of such partitions of n by RD(ℓ…

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10

Stability of equilibria in a mutualism model: Impact of discrete delays

Olfat Al Lakkies, Laurance Fakih, Paul Georgescu, Andrei Halanay

We study a two-species mutualism delay model with two discrete lags τ1, τ2. For the coexistence equilibrium we derive local stability conditions from the characteristic equation. In the no-delay case, stability follows from the Routh– Hurwitz conditions. With one delay, imaginary-axis crossings reduce to a quartic equa…

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11

THE STUDY OF EQUILIBRIA IN ABSTRACT ECONOMIES AND GENERALIZED GAMES

Saeideh Pirbavafa and S. Mansour Vaezpour

The purpose of this paper is to present a new best proximity point existence theorem for set-valued maps that are almost w-upper semicontinuous. We also give examples that support the usability of our results. Next, we establish new existence results of equilibria for free abstract economies in which constraint corresp…

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12

A NONLINEAR ELLIPTIC SYSTEM WITH THE SIGN-CHANGING LOGARITHMIC NONLINEARITIES

F. F. Faramarzi, S.H. Rasouli, Somayeh Khademloo

In the present paper, we consider the multiple solutions for a class of nonlinear elliptic system with the sign-changing logarithmic. Under some conditions we obtain at least two nontrivial solutions by logarithmic Sobolov inequality and analysis of the relationship between the Nehari manifold and fibering maps

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13

AN EXTENSION OF HIGHER ORDER RIESZ TRANSFORMS ASSOCIATED WITH BESSEL OPERATORS

Ismail EKINCIOGLU, Salim USMANOV, A. Burcu Ozyurt SERIM

In this paper, we introduce the class of fractional integral operators generated by the generalized shift operator with the kernel satisfying the Dini condition. Furthermore, the focus of this work is that these operators are obtained via a high-order Riesz-Bessel transform and are related to the generalized shift oper…

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14

LASER-DRIVEN OXYGEN EXTRACTION FROM LUNAR REGOLITH SIMULANTS: A TECHNICAL AND EXPERIMENTAL STUDY

Cosmin JALBĂ, Nicu SCĂRIȘOREANU, Axel MÜLLER

This study explores the potential of pulsed laser ablation (PLA) for oxygen extraction from lunar regolith simulants. PLA delivers short, high-energy pulses capable of locally dissociating oxides without requiring gravity or molten containment and can be powered by solar energy. Various regolith simulants, including TU…

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15

CHARACTERIZATION OF Tb3+-ACTIVATED BaY2O4 PHOSPHORS' FOR OPTOELECTRONICS APPLICATION

Komita SAHU, Ravi Shrivastava, RAMADHIN, and Siteshwari CHANDRAKAR

The synthesis and photoluminescence analysis of Tb3+ doped BaY2O4 phosphor was reported in this work. The modified solid state reaction approach, which is best suited for large-scale production, was used to prepare the sample. Scanning Electron Microscopy (SEM), EDS, and X-ray diffraction were used to analyze the produ…

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16

THRESHOLD-SENSITIVE ANALYSIS OF BUN VOLATILITY IN THE INTENSIVE CARE UNIT

Tijana KEVKIĆ, Dragana TODOROVIĆ and Stevan TODOROVIĆ

In this paper, we analyzed Blood Urea Nitrogen (BUN) time series from 94 adult ICU patients in the multicenter eICU database, using ARCH models originally developed in econometrics. To our knowledge, such methods have not previously been used to study BUN dynamics in critical illness. First, in this paper, we implement…

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17

THE EFFECT OFVAGUS NERVE STIMULATION ON THE ELECTROENCEPHALOGRAPHIC SIGNAL

Mihai COSTACHE

An original stimulation-recording system was assembled for the study of the brain response to the non-invasive stimulation of vagus nerve aiming to increase the attention and concentration. We applied continuous 5 Hz biphasic impulses and bursts of 5 Hz impulses. The increase of the attention index and the reduction in…

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18

EXPERIMENTAL DETERMINATION OF THE DOSE COMPONENT PRODUCED BY THE SCATTERED X-RAYS IN EXTERNAL NASAL PYRAMID RADIOTHERAPY Cristina Madalina NICOLA1 ׳²

Cristina Madalina NICOLA

The goal of this work is to estimate and measure doses produced by scattering the X-rays used in the treatment of the nasal pyramid, on the protected eyeballs. Measurements were performed for a radiation field generated with different applicators and for various incident X-ray energies. For the eyeball protection lead …

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