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HOMOCLINIC SOLUTIONS OF NONLINEAR LAPLACIAN DIFFERENCE EQUATIONS WITHOUT AMBROSETTI-RABINOWITZ CONDITION

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Acta Mathematica Scientia 2021年第3期41卷 712-718页

作者： Antonella NASTASI Stepan TERSIAN calogero vetro University of Palermo Department of Mathematics and Computer ScienceVia Archirafi 3490123PalermoItaly Institute of Mathematics and Informatics Bulgarian Academy of Sciences1113 SofiaBulgaria

The aim of this paper is to establish the existence of at least two non-zero homoclinic solutions for a nonlinear Laplacian difference equation without using AmbrosettiRabinowitz type-conditions. The main tools are mo... 详细信息

关键词： Difference equations homoclinic solutions non-zero solutions (p,q)-Laplacian operator

MEIR-KEELER TYPE CONTRACTIONS FOR TRIPLED FIXED POINTS

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Acta Mathematica Scientia 2012年第6期32卷 2119-2130页

作者： Hassen Aydi Erdal Karapvnar calogero vetro Universitde Monastir Institut Supérieur d'Informatique de MahdiaRoute de RéjicheKm 4BP 35Mahdia 5121Tunisie Department of Mathematics Atilim University 06836IncekAnkaraTurkey Dipartimento di Matematica e Informatica Universitàdi PalermoVia Archirafi3490123 PalermoItaly

In 2011, Berinde and Borcut [6] introduced the notion of tripled fixed point in partially ordered metric spaces. In our paper, we give some new tripled fixed point theorems by using a generalization of Meir-Keeler con... 详细信息

关键词： tripled fixed point theorems Meir-Keeler type contractions partially or-dered sets

COMMON FIXED POINT THEOREMS FOR MULTI-VALUED MAPS

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Acta Mathematica Scientia 2012年第2期32卷 818-824页

作者： Boško Damjanovic Bessem Samet calogero vetro Department of Mathematics Faculty of AgricultureNemanjina 6BelgradeSerbia Universitéde Tunis Département de MathématiquesEcole Supérieure des Sciences et Techniques de Tunis Department of Mathematics and Informatics University of PalermoVia Archirafi3490123 PalermoItaly

We establish some results on coincidence and common fixed points for a twopair of multi-valued and single-valued maps in complete metric spaces. Presented theorems generalize recent results of Gordji et al [4] and sev... 详细信息

关键词： Coincidence point common fixed point multi-valued maps

ON NONCOERCIVE (p,q)-EQUATIONS

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Acta Mathematica Scientia 2021年第5期41卷 1788-1808页

作者： Nikolaos S.PAPAGEORGIOU calogero vetro Francesca vetro Department of Mathematics National Technical UniversityZografou Campus15780AthensGreece Department of Mathematics and Computer Science University of PalermoVia Archirafi 3490123PalermoItaly 90123 PalermoItaly

We consider a nonlinear Dirichlet problem driven by a(p,q)-Laplace differential operator(1 详细信息

We consider a nonlinear Dirichlet problem driven by a(p,q)-Laplace differential operator(1

关键词： (p q)-Laplacian principal eigenvalue constant sign and nodal solutions extremal solutions nonlinear regularity

EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS

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Acta Mathematica Scientia 2016年第1期36卷 94-110页

作者： Stojan RADENOVIC Peyman SALIMI calogero vetro Tatjana DOSENOVIC Faculty of Mathematics and Information Technology Teacher Education Dong Thap UniversityCaoLanh City Dong Thap Province Viet Nam Young Researchers and Elite Club Rasht Branch Islamic Azad University Rasht Iran Universitd degli Studi di Palermo Dipartimento di Matematica e InformaticaVia Archirafi 34 90123 Palermo. llaly Faculty of Technology University of Novi Sad Serbia

The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.

关键词： G-metric space G-cone metric space quasi-metric space fixed point Edel-stein's theorem Suzuki's theorem.

FIXED POINTS OF α-TYPE F-CONTRACTIVE MAPPINGS WITH AN APPLICATION TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

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Acta Mathematica Scientia 2016年第3期36卷 957-970页

作者： Dhananjay GOPAL Mujahid ABBAS Deepesh Kumar PATEL calogero vetro Department of Applied Mathematics&Humanities S.V.National Institute of TechnologySurat-395007GujaratIndia Department of Mathematics and Applied Mathematics University of PretoriaLynnwood RoadPretoria 0002South Africa Department of Mathematics King AbdulAziz UniversityP.O.Box 80203 Jeddah 21589Saudi Arabia Department of Mathematics Visvesvaraya National Institute of Technology Nagpur-440010MaharashtraIndia Universita degli Studi di Palermo Dipartimento di Matematica e InformaticaVia Archirafi34-90123 PalermoItaly

In this paper, we introduce new concepts of a-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in [21, 22] and different from a-GF-contractions given in [8]. Then, sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings, in the setting of complete metric space. Consequently, the obtained results encompass various generalizations of the Banach contraction principle. Moreover, some examples and an application to nonlinear fractional differential equation are given to illustrate the usability of the new theory.

关键词： fixed points nonlinear fractional differential equations periodic points

Endoscopic features of gastro-intestinal lymphomas: From diagnosis to follow-up

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World Journal of Gastroenterology 2014年第36期20卷 12993-13005页

作者： calogero vetro Alessandra Romano Irene Amico Concetta Conticello Giovanna Motta Amalia Figuera Annalisa Chiarenza Cosimo Di Raimondo Giorgio Giulietti Giacomo Bonanno Giuseppe Alberto Palumbo Francesco Di Raimondo Division of Hematology AOU Policlinico-OVE University of Catania 95124 Catania Italy Department of Diagnostic and Interventional Radiology A.O. "Policlinico-Vittorio Emanuele" 95124 Catania Italy Division of Gastroenterology A.O. Policlinico-Vittorio Emanuele 95124 Catania Italy

Many progresses have been done in the management of gastrointestinal(GI) lymphomas during last decades, especially after the discovery of Helicobacter pylori-dependent lymphoma development. The stepwise implementation of new endoscopic techniques, by means of echoendoscopy or double-balloon enteroscopy, enabled us to more precisely describe the endoscopic features of GI lymphomas with substantial contribution in patient management and in tailoring the treatment strategy with organ preserving approaches. In this review, we describe the recent progresses in GI lymphoma management from disease diagnosis to follow-up with a specific focus on the endoscopic presentation according to the involved site and the lymphoma subtype. Additionally, new or emerging endoscopic technologies that have an impact on the management of gastrointestinal lymphomas are reported. We here discuss the two most common subtypes of GI lymphomas: the mucosaassociated lymphoid tissue and the diffuse large B cell lymphoma. A general outline on the state-of-the-art of the disease and on the role of endoscopy in both diagnosis and follow-up will be performed.

关键词： Non-Hodgkin lymphomas Endoscopy Gastrointestinal tract Endosonography B-cell lymphomas Marginal zone

Testosterone replacement therapy and vascular thromboembolic events: a systematic review and meta-analysis

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Asian Journal of Andrology 2024年第2期26卷 144-154页

作者： Rossella Cannarella Carmelo Gusmano Claudia Leanza Vincenzo Garofalo Andrea Crafa Federica Barbagallo Rosita A Condorelli Sandro La Vignera Aldo E calogero Department of Clinical and Experimental Medicine University of CataniaCatania 95123Italy Glickman Urological&Kidney Institute Cleveland Clinic FoundationClevelandOH44195USA

To evaluate the relationship between testosterone replacement therapy(TRT)and arterial and/or venous thrombosis in patients with pre-treatment total testosterone(TT)<12 nmol I^(-1),we performed a meta-analysis following the Population Intervention Comparison Outcome ***:men with TT<12 nmol I^(-1) or clear mention of hypogonadism in the inclusion criteria of patients;intervention:TRT;comparison:placebo or no therapy;outcomes:arterial thrombotic events(stroke,myocardial infarction[MI],upper limbs,and lower limbs),VTE(deep vein thrombosis[DVT],portal vein thrombosis,splenic thrombosis,and pulmonary embolism),and mortality.A total of 2423 abstracts were assessed for ***-four studies,including 14 randomized controlled trials(RCTs),were finally included,with a total of 4027 and 310288 hypotestosteronemic male patients,from RCTs and from observational studies,*** on RCT-derived data,TRT did not influence the risk of arterial thrombosis(odds ratio[OR]=1.27,95%confidence interval[CI]:0.47-3.43,P=0.64),stroke(OR=1.34,95%CI:0.09-18.97,P=0.83),MI(OR=0.51,95%CI:0.11-2.31,P=0.39),VTE(OR=1.42,95%CI:0.22-9.03,P=0.71),pulmonary embolism(OR=1.38,95%CI:0.27-7.04,P=0.70),and mortality(OR=0.70,95%CI:0.20-2.38,P=0.56).Meanwhile,when only observational studies are considered,a significant reduction in the risk of developing arterial thrombotic events,Ml,venous thromboembolism,and mortality was *** risk for DVT remains uncertain,due to the paucity of RCT-based *** in men with TT<12 nmol I^(-1) is safe from the risk of adverse cardiovascular *** studies specifically assessing the risk of DVT in men on TRT are needed.

关键词： hypogonadism testosterone testosterone replacement therapy thromboembolism thrombosis TRT

Rare gastrointestinal lymphomas: the endoscopic investigation

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世界胃肠内镜杂志：英文版（电子版） 2015年第10期7卷 928-949页

作者： calogero vetro Giacomo Bonanno Giorgio Giulietti Alessandra Romano Concetta Conticello Annalisa Chiarenza Paolo Spina Francesco Coppolino Rosario Cunsolo Francesco Di Raimondo Division of Hematology A.O."Policlinico-Vittorio Emanuele" University of Catania Division of Gastroenterology A.O."Polic-linico-Vittorio Emanuele" Department of Diagnostic and Interventional Radiology A.O."Policlinico-Vittorio Emanuele" Department of Radiology University of Palermo Health Direction A.O."Policlinico-Vittorio Emanuele"

Gastrointestinal lymphomas represent up to 10%of gastrointestinal malignancies and about one third of nonHodgkin *** most prominent histologies are mucosa-associated lymphoid tissue lymphoma and diffuse large B-cell ***,the gastrointestinal tract can be the site of rarer lymphoma subtypes as a primary or secondary *** to their rarity and the multifaceted histology,an endoscopic classification has not been validated *** review aims to analyze the endoscopic presentation of rare gastrointestinal lymphomas from disease diagnosis to follow-up,according to the involved site and lymphoma ***,new and emerging endoscopic technologies have been *** particular,we investigated the diagnostic,prognostic and follow-up endoscopic features of T-cell and natural killer lymphomas,lymphomatous polyposis and mantle cell lymphoma,follicular lymphoma,plasma cell related disease,gastrointestinal lymphomas in immunodeficiency and Hodgkin’s lymphoma of the gastrointestinal *** to more frequent gastrointestinal lymphomas,data about rare lymphomas are mostly extracted from case series and case *** to the data paucity,a synergism between gastroenterologists and hematologists is required inorder to better manage the ***,clinical and prognostic features are different from nodal and extranodal or the bone marrow(in case of plasma cell disease)***,the approach should be based on the knowledge of the peculiar behavior and natural history of disease.

关键词： Endoscopy Lymphoma Endosonography Stomach Intestine