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COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ-φ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS S-度量空间中广义(ψ-φ)-弱压缩下的公共不动点定理及其应用
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.02
G. Saluja, J. K. Kim, W. H. Lim
Abstract. The aim of this paper is to establish common fixed point theorems under generalized ( ψ − φ )-weak contractions in the setting of complete S -metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.
摘要本文的目的是在完备S-度量空间中建立广义(ψ−φ)-弱收缩下的公共不动点定理,并用一些例子支持我们的结果。应用我们的结果,我们得到了一些积分型的不动点定理。我们的结果扩展了Doric[5]的定理2.1和2.2,Dutta和Choudhury[6]的定理2.1,以及现有文献中的许多其他结果。
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引用次数: 3
CONVERGENCE THEOREMS OF PROXIMAL TYPE ALGORITHM FOR A CONVEX FUNCTION AND MULTIVALUED MAPPINGS IN HILBERT SPACES HILBERT空间中凸函数和多值映射的近端型算法的收敛性定理
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.01
Sajan Aggarwal, I. Uddin, N. Pakkaranang, N. Wairojjana, P. Cholamjiak
In this paper we study the weak and strong convergence to minimizers of convex function of proximal point algorithm SP-iteration of three multivalued nonexpansive mappings in a Hilbert space.
本文研究了Hilbert空间中三个多值非扩张映射的近点算法sp -迭代的凸函数的弱收敛性和强收敛性。
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引用次数: 1
LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS 一类非线性扩散种群模型的局部近似解
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.06
Guangchong Yang, Xia Chen, L. Xiao
This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.
本文研究了一类非线性扩散种群模型的近似解。我们的方法是利用热方程的基本解来构造模型的积分形式,并利用著名的Banach压缩映射定理来证明积分方程正解的存在性。利用多元连续函数的近似定理,得到了合适收获函数的非稳态局部近似解。
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引用次数: 0
SOLUTION SETS OF SECOND-ORDER CONE LINEAR FRACTIONAL OPTIMIZATION PROBLEMS 二阶锥线性分式优化问题的解集
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.04
G. Kim, M. Kim, G. Lee
We characterize the solution set for a second-order cone linear fractional optimization problem (P). We present sequential Lagrange multiplier characterizations of the solution set for the problem (P) in terms of sequential Lagrange multipliers of a known solution of (P).
我们刻画了一个二阶锥线性分式优化问题(P)的解集。我们根据(P)的已知解的序列拉格朗日乘子,给出了问题(P)解集的序列拉格朗日乘数特征。
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引用次数: 0
GENERALIZED PSEUDO-DIFFERENTIAL OPERATORS INVOLVING FRACTIONAL FOURIER TRANSFORM 包含分数傅立叶变换的广义伪微分算子
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.08
B. B. Waphare, P. Pansare
Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a ( x, y ) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.
定义了与符号a (x, y)相关联的包含分数阶傅里叶变换的广义伪微分算子,其导数满足一定的增长条件。证明了两个广义伪微分算子的乘积是一个广义伪微分算子。
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引用次数: 0
FIXED POINT THEOREMS IN COMPLEX VALUED CONVEX METRIC SPACES 复值凸度量空间中的不动点定理
Q3 Mathematics Pub Date : 2021-02-23 DOI: 10.22771/NFAA.2021.26.01.09
G. A. Okeke, S. H. Khan, J. K. Kim
Our purpose in this paper is to introduce the concept of complex valued convex metric spaces and introduce an analogue of the Picard-Ishikawa hybrid iterative scheme, recently proposed by Okeke [24] in this new setting. We approximate (common) fixed points of certain contractive conditions through these two new concepts and obtain several corollaries. We prove that the Picard-Ishikawa hybrid iterative scheme [24] converges faster than all of Mann, Ishikawa and Noor [23] iterative schemes in complex valued convex metric spaces. Also, we give some numerical examples to validate our results.
本文的目的是引入复值凸度量空间的概念,并引入最近由Okeke[24]提出的Picard-Ishikawa混合迭代格式的一种模拟。我们利用这两个新概念近似了某些压缩条件的(公)不动点,并得到了若干推论。证明了在复值凸度量空间中,Picard-Ishikawa混合迭代格式[24]比Mann、Ishikawa和Noor[23]迭代格式收敛速度更快。最后给出了一些数值算例来验证我们的结果。
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引用次数: 0
Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces 有序度量空间中广义循环弱(F,ψ,ξ)-收缩的最佳邻近点
Q3 Mathematics Pub Date : 2020-03-01 DOI: 10.22771/NFAA.2020.25.01.05
A. H. Ansari, J. Nantadilok, M. Khan
. The purpose of this paper is to introduce a new generalized cyclic weak ( F, ψ, ϕ )-contraction based on the generalized weak ϕ -contraction which is proposed in [6], where F is a C -class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.
. 本文的目的是在[6]中提出的广义弱φ -收缩的基础上引入一个新的广义循环弱(F, ψ, φ)-收缩,其中F是C类函数。并且在一定条件下,得到了该循环映射的一个相应的最佳邻近点定理。我们得到的结果改进和推广了之前已知的关于[6]的结果,以及现有文献中关于循环收缩的其他结果。
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引用次数: 1
PROXIMITY POINTS FOR CYCLIC 2-CONVEX CONTRACTION MAPPINGS 循环2-凸收缩映射的邻近点
Q3 Mathematics Pub Date : 2020-02-23 DOI: 10.22771/NFAA.2020.25.01.01
M. Khan, M. Menaka, G. K. Jacob, M. Marudai
In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M -weakly cyclic 2-convex contraction mappings are proved in the metric space setting. Our result is an natural general- ization to result discussed in Istraescu [6].
本文在度量空间中证明了循环2-凸收缩映射、弱循环2-凸压缩映射和M-弱循环2-凹收缩映射的邻近点的存在性。我们的结果是对Istraescu[6]中讨论的结果的自然概括。
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引用次数: 0
ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN 关于抛物域中的λ-拟双星函数
Q3 Mathematics Pub Date : 2019-03-06 DOI: 10.22771/NFAA.2019.24.01.12
G. Murugusundaramoorthy, N. Cho
In this paper we introduce a new class L^ λ_{ p, Σ} ( φ_ α ) of λ -pseudo bi-starlike functions in parabolic domain and determine the bounds for | a_ 2 | and | a_ 3 | where a_ 2 , a_ 3 are the initial Taylor coefficients of f ∈ L_ λ_{ p, Σ} ( φ_ α ) . Furthermore, we estimate the Fekete-Szego functional for L^ λ_{ p, Σ} ( φ_ α ).
本文在抛物域中引入了一类新的λ-拟双星函数L^λ_{p,∑}(φ_α),并确定了|a_2|和|a_3|的界,其中a_2,a_3是f∈L_。此外,我们估计了L^λ_{p,∑}(φ_α)的Fekete-Szego泛函。
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引用次数: 0
Correction to: Functional Analysis and Applications 修正为:功能分析与应用
Q3 Mathematics Pub Date : 2019-01-01 DOI: 10.1007/978-981-10-3725-2_16
A. H. Siddiqi
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引用次数: 0
期刊
Nonlinear Functional Analysis and Applications
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