260 research outputs found

    Existence of fixed points of large MR-Kannan contractions in Banach Spaces

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    [EN] The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.Anjum, R.;Abbas, M.;Waqar Akram, M.;Radenovic, S. (2024). Existence of fixed points of large MR-Kannan contractions in Banach Spaces. Applied General Topology. 25(2):423-439. https://doi.org/10.4995/agt.2024.20852OJS42343925

    In Vitro Cytotoxicity and Morphological Assessments of GO-ZnO against the MCF-7 Cells: Determination of Singlet Oxygen by Chemical Trapping

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    Graphene-based materials have attracted considerable interest owing to their distinctive characteristics, such as their biocompatibility in terms of both their physical and intrinsic chemical properties. The use of nanomaterials with graphene as a biocompatible agent has increased due to an uptick in dedication from biomedical investigators. Here, GO-ZnO was characterized by X-ray diffraction (XRD), field emission scanning electron microscopy (FESEM), ultraviolet-visible (UV-Vis) spectroscopy, energy dispersive X-ray analysis (EDAX), and Raman spectroscopy for structural, morphological, and elemental analysis. The toxic extent of GO-ZnO was noted by a methyl-thiazole-tetrazolium (MTT), while cellular morphology was observed towards the MCF-7 cells using an inverted microscope at magnification 40 x. The cytotoxic effect of GO-ZnO investigated the cell viability reduction in a dose-dependent manner, as well as prompted the cell demise /destruction in an apoptotic way. Moreover, statistical analysis was performed on the experimental outcomes, with p-values < 0.05 kept as significant to elucidate the results. The generation of reactive oxygen species (ROS) demonstrated the potential applicability of graphene in tumor treatment. These key results attest to the efficacy of GO-ZnO nanocomposites as a substantial candidate for breast malignancy treatment

    Pulse-Driven Self-Reconfigurable Meta-Antennas

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    Wireless communications and sensing have notably advanced thanks to the recent developments in both software and hardware. Although various modulation schemes have been proposed to efficiently use the limited frequency resources by exploiting several degrees of freedom, antenna performance is essentially governed by frequency only. Here, we present a new antenna design concept based on metasurfaces to manipulate antenna performances in response to the time width of electromagnetic pulses. We numerically and experimentally show that by using a proper set of spatially arranged metasurfaces loaded with lumped circuits, ordinary omnidirectional antennas can be reconfigured by the incident pulse width to exhibit directional characteristics varying over hundreds of milliseconds or billions of cycles, far beyond conventional performance. We demonstrate that the proposed concept can be applied for sensing, selective reception under simultaneous incidence and mutual communications as the first step to expand existing frequency resources based on pulse width.Comment: 61 pages, 6 figures, 26 supplementary figure

    A Microwave Anapole Source Based on Electric Dipole Interactions Over a Low-Index Dielectric

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    The pursuit of non-radiating sources and radiation-less motion for accelerated charged particles has captivated physicists for generations. Non-radiating sources represent intricate current charge configurations that do not emit radiation beyond their source domain. In this study, we investigate a single non-radiating source, comprising a low-index dielectric disk excited by a split ring resonator. Employing analytical and numerical methods, we demonstrate that this configuration supports an anapole state, exhibiting minimal or no radiation, effectively representing a non-radiating source. The radiation suppression is accomplished through the destructive interference of electric dipoles excited on the metallic and dielectric components of the proposed prototype. Transforming the design into a cost-effective device capable of suppressing radiation, we achieve impressive numerical and experimental agreement, affirming the formation of the anapole state using the lowest order multi-poles. Moreover, the devised anapole device is remarkably compact, constructed from a low-index dielectric, and employs readily available components. As a versatile platform, the proposed device can spearhead anapole research for diverse applications, including sensing, wireless charging, RFID tags, and other non-linear applications

    Applications to Solving Variational Inequality Problems via MR-Kannan Type Interpolative Contractions

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    The aim of this paper is manifold. We first define the new class of operators called MR-Kannan interpolative type contractions, which includes the Kannan, enriched Kannan, interpolative Kannan type, and enriched interpolative Kannan type operators. Secondly, we prove the existence of a unique fixed point for this class of operators. Thirdly, we study Ulam-Hyers stability, well-posedness, and periodic point properties. Finally, an application of the main results to the variational inequality problem is given

    Identification of Factors Influencing Sustainability of Buried Continuous Pipelines

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    Threat to the sustainability of buried continuous pipelines (BCPs) can be associated with different factors such as corrosion, natural hazards, and third-party influences. In the past, these factors have been discussed independently by various researchers. Despite these studies, there is still space for a comprehensive review report to be performed in this domain. The purpose of this article is to manage, classify, and describe the literature work done in this sphere. Firstly, the screening of various factors based on their damage criteria has been carried out. An environmental analysis is performed to review the impact of different parameters that can influence the sustainability of BCPs. Further, a technical review on primary factors has been done to examine and measure the causes, damages, mitigation, and inspection techniques. In the last stage, review based decision has been performed. Results of the current study shows that research contribution for corrosion and earthquake factors are in an advanced stage, followed by flood and external surface loads, that are still in progress. However, temperature variations and blast factors are in a premature phase and need broad inspection and research support
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