检索结果-南通市图书馆

Advancements in fixed point theorems for α-Geraghty Contractions in Complete Metric Space

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research with Applications 2024年第5期44卷 697-710页

作者： V.C.BORKAR Mohammed M.A.TALEB Saeed A.A.AL-SALEHI School of Mathematical at Yeshwant Mahavidyalaya Swami Ramanand Teerth Marathwada University School of Mathematical at Science College Swami Ramanand Teerth Marathwada University Department of Mathematics Hodeidah University Department of Mathematics Aden University

This article improves and advances the results achieved by Vishal and Naveen, leveraging the use of Lebesgue integrable functions. Going beyond, we investigate fixed point theorems associated with a concept introduced by Ovidiu Popescu. Our research not only bolsters the theoretical framework but also unveils practical applications in the domain of Lebesgue integrals as in Example 3.6. Furthermore, our contribution enhances the understanding of fixed point theorems in metric spaces and introduces novel perspectives in the study of generalized α-Geraghty contractive mappings on Lebesgue integrals.

关键词： fixed point theorems contractive mappings α-Geraghty contractions complete metric spaces Lebesgue integrals α-admissible α-orbital α-orbital attractive

APPLICATIONS OF fixed point theorems TO INVARIANT APPROXIMATION

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2000年第3期16卷 48-55页

作者： A.R.Khan N.Hussain A.B.Thaheem Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya UniversityMultan 60800Pakistan Department of Mathematical Science King Fahd University of Petroleum and MineralsDhahran 31261Saudi Arabia

We prove some fixed point theorems. As applications we obtain Brosowski-Meinardus type theorems on invariant approximations on a class of nonconvex sets in locally bounded topological vector spaces.

关键词： INVARIANT APPROXIMATION fixed point theorems locally bounded vector spaces

On fixed point Index and fixed point theorems for Multivalued Semi-closed 1-set-contraction Mappings

在线全文

学校读者我要写书评

暂无评论

江西师范大学学报(自然科学版) 1991年第4期 294-297+305页

作者： Li Guozhen (Dept. of Math.)

Fitzpatrick P M and Petryshyn W V studied fixed point index and fixed point theorems of multivalued condensing *** aim of this paper is to give a concept of multivalued semi-closed 1-set-contraction mapping which is a more genere.i mapping and to define its fixed point index,and then we prove some fixed point theorems to extend some Petryshyn’ s results.

关键词： fixed point index fixed point theorems

ON A COUPLED INTEGRO-DIFFERENTIAL SYSTEM INVOLVING MIXED FRACTIONAL DERIVATIVES AND INTEGRALS OF DIFFERENT ORDERS

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2021年第4期41卷 1366-1384页

作者： Bashir AHMAD Ravi P.AGARWAL Abrar BROOM Ahmed ALSAEDI Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityP.O.Box 80203Jeddah 21589Saudi Arabia Department of Mathematics Texas A&M UniversityKingsvilleTexas 78363-8202USA

By applying the standard fixed point theorems,we prove the existence and uniqueness results for a system of coupled differential equations involving both left Caputo and right Riemann-Liouville fractional derivatives and mixed fractional integrals,supplemented with nonlocal coupled fractional integral boundary *** example is also constructed for the illustration of the obtained results.

关键词： Fractional differential equations Caputo and Riemann-Liouville fractional derivatives systems existence fixed point theorems

THE LERAY-SCHAUDER CONDITION FOR 1-SET WEAKLY-CONTRACTIVE AND(ws)-COMPACT OPERATORS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2014年第2期34卷 263-273页

作者： Afif BEN AMAR Department of Mathematics Faculty of Sciences

Abstract The main purpose of this article is to prove a collection of new nxea point theorems for （ws）-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequences, we get new fixed point existence for （ws）-compact （in particular nonexpansive） self mappings unbounded closed convex subset of Banach spaces. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. Later on, we give an application to generalized Hammerstein type integral equations.

关键词： Measure of weak noncompactness weakly condensing and weakly nonexpan-sire (ws)-compact operator fixed point theorems semi-closed at the origin

Green's Function for Periodic Solutions in Alternately Advanced and Delayed Differential Systems

在线全文

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2020年第4期36卷 936-951页

作者： Kuo-Shou CHIU Departamento de Matematica Facultad de Ciencias BasicasUniversidad Metropolitana de Ciencias de la EducacionSantiagoChile

In this paper we investigate the existence of the periodic solutions of a nonlinear differential equation with a general piecewise constant argument,in short DEPCAG,that is,the argument is a general step *** consider the critical case,when associated linear homogeneous system admits nontrivial periodic *** of existence of periodic solutions of such equations are *** the process we use the Green?s function for periodic solntions and convert the given DEPCAG into an equivalent integral *** we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution of this type of nonlinear differential *** also use the contraction mapping principle to show the existence of a unique periodic *** examples are given to show the feasibility of our results.

关键词： piecewise constant arguments Green's function periodic solutions hybrid equations fixed point theorems

Boundary value problems for nonlinear second-order difference equations with impulse

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2009年第8期30卷 1045-1054页

作者： Huseyin Bereketoglu Aydin Huseynov Department of Mathematics Ankara University

In this paper, we consider a boundary value problem with impulse （BVPI）for nonlinear second-order difference equations. Existence and uniqueness of solutions of the considered BVPI are established.

关键词： impulse conditions Green's function fixed point theorems

Positive solutions and stability of fuzzy Atangana–Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19)

在线全文

学校读者我要写书评

暂无评论

International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 205-229页

作者： Pratibha Verma Manoj Kumar Department of Mathematics Motilal Nehru National Institute of Technology Allahabad Prayagraj 211004 Uttar PradeshIndia

This work provides a new fuzzy variable fractional COVID-19 model and uses a variablefractional operator, namely, the fuzzy variable Atangana–Baleanu fractional derivativesin the Caputo sense. Next, we explore the proposed fuzzy variable fractional COVID-19 model using the fixed point theory approach and determine the solution’s existenceand uniqueness conditions. We choose an appropriate mapping and with the help ofthe upper/lower solutions method. We prove the existence of a positive solution for theproposed fuzzy variable fractional COVID-19 model and also obtain the result on theexistence of a unique positive solution. Moreover, we discuss the generalized Hyers–Ulam stability and generalized Hyers–Ulam–Rassias stability. Further, we investigate theresults on maximum and minimum solutions for the fuzzy variable fractional COVID-19model.

关键词： Novel coronavirus(COVID-19) variable Atangana–Baleanu fractional derivative Mittag–Leffler kernel existence and uniqueness fixed point theorems Hyers–Ulam stability

A fixed point theorem for Proinov mappings with a contractive iterate

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2023年第3期38卷 403-412页

作者： Erdal Karapnar Andreea Fulga Department of Medical Research China Medical UniversityTaichungTaiwanChina Department of Mathematics Cankaya University06790EtimesgutAnkaraTurkey Department of Mathematics and Computer Science Transilvania University of BrasovBrasovRo-mania.

In this paper,we consider the fixed point theorem for Proinov mappings with a contractive iterate at a *** other words,we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete m... 详细信息

关键词： contractive iterate at a point Proinov mappings fixed point theorems