Mathematical Analysis and its Contemporary Applications
https://www.macajournal.com/
Mathematical Analysis and its Contemporary Applicationsendaily1Wed, 01 Mar 2023 00:00:00 +0330Wed, 01 Mar 2023 00:00:00 +0330Advancements in metric-like spaces with related fixed point results
https://www.macajournal.com/article_702388.html
In this paper, various fixed point results on metric-like spaces are collected. Important findings from the beginning up to the recent developments are discussed. Hence, the aim of this paper is to motivate further research in the setting of quasi-metric spaces and related domains.t-norms over complex fuzzy subgroups
https://www.macajournal.com/article_702389.html
In this paper, by using t-norms, we define complex fuzzy subgroups and normal complex fuzzy subgroups and investigate some of their characteristics of them. Later we introduce and study their intersection and composition of them. Next, we define the concept of normality between two complex fuzzy subgroups under t-norms and obtain some properties of them. Finally, we describe the image and the inverse image of them under group homomorphisms.Some fixed point theorems of rational type contraction in complex valued b-metric spaces
https://www.macajournal.com/article_702390.html
The aim of this paper is to prove a common fixed point theorem of rational type contraction in the context of complex-valued b-metric spaces and generalise some results in the existing literature. Finally, We furnish an interesting example in support of our main results.Alternative proof of a monotonicity property of a certain function
https://www.macajournal.com/article_702391.html
By using L'Hospital's rule for monotonicity, we provide an alternative proof of a monotonicity property of a certain function involving the exponential function. This new approach is very concise.Solving conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions
https://www.macajournal.com/article_703268.html
The objective of this paper is to solve conformable fractional Sturm-Liouville equations using one class of special polynomials and special functions introduced in [13]. Also, the connection between Mittag-Leffler functions and specialpolynomials are established and conformable fractional derivatives of certain Mittag-Leffler functions are determined.On algebraic bounds for exponential function with applications
https://www.macajournal.com/article_703874.html
In this paper, we establish algebraic bounds of the ratio type in nature for the natural exponential function $e^x$ involving two parameters, a and n, which become optimal as a tends to 0 or n tends to infinity. The proof is mainly based on Chebyshev's integral inequality and properties of the incomplete gamma function. Subsequently, we focus on the simple case obtained with n = 1, with comparisons to existing literature results. For the applications, we provide alternative proofs of inequalities involving ratio functions of trigonometric and hyperbolic functions. Graphics are given to illustrate the theory.Parameterised eight order iterative structures requiring no function derivative for solving nonlinear equation
https://www.macajournal.com/article_703909.html
In this work, the function derivatives in the double Newton iterative structure were annihilated by the use of function estimation with polynomial interpolation and divided difference operator. This resulted in the development of a modified double Newton iterative structure that requires no function derivative. To enhance the modified double Newton iterative structure, it was composed with an iterative structure that involves weight functions and requires an additional function evaluation to produce two parameterized families of iterative structures with convergence order eight. The conditions for convergence of the developed iterative structures were established via the Taylor series approach. The applicability of the developed iterative structures was tested on some nonlinear equations and from the obtained computational results, they are highly competitive when compared with some good existing iterative structures of the same order of convergence.Fuzzy ideals of BCI-algebras with respect to t-norm
https://www.macajournal.com/article_703910.html
In this paper, we introduce and define the concepts of fuzzy implicative ideals, fuzzy closed implicative ideals and fuzzy commutative ideals of BCI-algebras with respect to T-norms and we investigate some good examples. Next, we present some fundamental properties of them. Also, we link them with implicative ideals, closed implicative ideals and commutative ideals of BCI-algebras such that every fuzzy implicative ideal, fuzzy closed implicative ideals and fuzzy commutative ideals of BCI-algebras with respect to T-norms will be implicative ideals, closed implicative ideals and commutative ideals of BCI-algebras, respectively and we indicate some examples. Later we investigate and generalize the concepts as intersection and cartesian product of them and we show that the intersection and cartesian product of fuzzy implicative ideals, fuzzy closed implicative ideals and fuzzy commutative ideals of BCI-algebras with respect to T-norms are also fuzzy implicative ideals, fuzzy closed implicative ideals and fuzzy commutative ideals of BCI-algebras with respect to T-norms, respectively and characterize their properties of them with examples. Finally, we prove some properties about them under homomorphisms (image and pre-image) of BCI-algebras.Characterization of uniformly asymptotic S-Toeplitz and S-Hankel operators
https://www.macajournal.com/article_704708.html
In this paper, &nbsp;we show that a shift operator on a separable Hilbert space with infinite multiplicity is strongly approximated by shift operators with finite multiplicities. Moreover, for an arbitrary shift operator $S$, we introduce the notion of an (asymptotic) $S$-Hankel operator and study its relation to the class of (asymptotic) $S$-Toeplitz operators.Almost convex valued perturbation to second order sweeping process
https://www.macajournal.com/article_704843.html
This paper deals with nonconvex set-valued perturbation to second-order nonconvex sweeping process for a class of sub-smooth moving sets depending jointly on state and velocity. Making use of our recent paper published in JNFA (https://doi.org/10.23952/jnfa.2020.26), we prove the existence of a solution for the problem with almost convex perturbations. Furthermore, we apply our result in the study of the existence of an optimal solution to a minimum-time problem.