An Algebraic Approach of Topological Indices Connected with Finite Quasigroups
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Journal of Function Spaces publishes research on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines.
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Chief Editor, Dr Ragusa, is a full professor of mathematical analysis at University of Catania, Italy. Her research interests include partial differential equations and real analysis.
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More articlesScalability of Generalized Frames for Operators
In this paper, the Parseval --frames are constructed from a given --frame by scaling the elements of the --frame with the help of diagonal operators, and these frames are named scalable --frames. Also, we prove some properties of scalable --frames and construct new scalable --frames from a given --frame. The necessary and sufficient conditions for a --frame to be scalable are given. Further, equivalent conditions for the scalability of --frames and the -frames induced by --frames are obtained. Finally, it is shown that the direct sum of two scalable --frames is again a scalable --frame for some suitable bounded linear operator .
Relative Uniform Convergence of Sequence of Functions Related to -Spaces Defined by Orlicz Functions
The Orlicz function-defined sequence spaces of functions by relative uniform convergence of sequences related to -absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.
A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces
The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive mapping. MATLAB R2018b is used for numerical experiments to ensure a better convergence rate of the proposed iterative algorithm with existing results.
Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
This article examines the norms of composition operators from the weighted harmonic Bloch space to the weighted harmonic Zygmund space . The critical norm is on the open unit disk. We first give necessary and sufficient conditions where the composition operator between and is bounded. Secondly, we will study the compactness case of the composition operator between and . Finally, we will estimate the essential norms of the composition operator between and .
Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms
In this paper, we consider the weighted -biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.
Locating Edge Domination Number of Some Classes of Claw-Free Cubic Graphs
Let be a simple graph with vertex set and edge set . In a graph , a subset of edges denoted by is referred to as an edge-dominating set of if every edge that is not in is incident to at least one member of . A set is the locating edge-dominating set if for every two edges , the sets and are nonempty and different. The edge domination number of is the minimum cardinality of all edge-dominating sets of . The purpose of this study is to determine the locating edge domination number of certain types of claw-free cubic graphs.