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A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

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Acta Mathematica Scientia 2014年第2期34卷 274-284页

作者： Peyman SALIMI Pasquale vetro Young Researchers and Elite Club Rasht BranchIslamic Azad University Università degli Studi di Palermo Dipartimento di Matematica e Informatica

Recently, Suzuki [T. Suzuki characterizes metric completeness, Proc. A generalized Banach contractlon principle that Amer. Math. Soc. 136 （2008）, 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and char- acterizes the metric completeness. Paesano and vetro [D. Paesano and P. vetro, Suzuki＇s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 （2012）, 911-920] proved an analogous fixed point result for a self-mapping on a partial metric space that characterizes the partial metric O- completeness. In this article, we introduce the notion of partial G-metric spaces and prove a result of Suzuki type in the setting of partial G-metric spaces. We deduce also a result of common fixed point.

关键词： Fixed and common fixed points Suzuki fixed point theorem partial G-metricspaces

LANDESMAN-LAZER TYPE (p,q)-EQUATIONS WITH NEUMANN CONDITION

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Acta Mathematica Scientia 2020年第4期40卷 991-1000页

作者： Nikolaos S.PAPAGEORGIOU Calogero vetro Department of Mathematics National Technical UniversityZografou campusAthens 15780Greece Department of Mathematics and Computer Science University of PalermoVia Archirafi 3490123PalermoItaly

We consider a Neumann problem driven by the(p,g)-Laplacian under the Landesman-Lazer type *** the classical saddle point theorem and other classical results of the calculus of variations,we show that the problem has a... 详细信息

关键词： Neumann problem (p,q)-Laplacian critical point saddle point theorem Landesman-Lazer type condition

FIXED POINT RESULTS ON METRIC-TYPE SPACES

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Acta Mathematica Scientia 2014年第4期34卷 1237-1253页

作者： Monica COSENTINO Peyman SALIMI Pasquale vetro Dipartimento di Matematica e Informatica Universita degli Studi di PalermoVia Archirafi3490123 PalermoItaly Young Researchers and Elite Club Rasht BranchIslamic Azad UniversityRashtIran

In this paper we obtain fixed point and common fixed point theorems for self- mappings defined on a metric-type space, an ordered metric-type space or a normal cone metric space. Moreover, some examples and an applica... 详细信息

关键词： metric-type space fixed point common fixed point Suzuki type mappings cone metric space integral equation

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

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

SOME NEW EXTENSIONS OF EDELSTEIN-SUZUKI-TYPE FIXED POINT THEOREM TO G-METRIC AND G-CONE METRIC SPACES

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Acta Mathematica Scientia 2013年第4期33卷 1049-1058页

作者： Fridoun MORADLOU Peyman SALIMI Pasquale vetro Department of Mathematics Sahand University of Technology Università degli Studi di Palermo Dipartimento di Matematica e Informatica

In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein [M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 （1962）, 74-79] and a result of Suzuki [T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 （2009）, 5313-5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces.

关键词： G-metric spaces G-cone metric spaces fixed point Edelstein'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