Global Analysis and Discrete MathematicsGlobal Analysis and Discrete Mathematics
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Feed provided by Global Analysis and Discrete Mathematics. Click to visit.Arens regularity and cohomological properties of Banach lattice algebra
http://gadm.du.ac.ir/article_153_40.html
A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.Sat, 30 Nov 2019 20:30:00 +0100Pareto-optimal Solutions for Multi-objective Optimal Control Problems using Hybrid IWO/PSO Algorithm
http://gadm.du.ac.ir/article_157_40.html
Heuristic optimization provides a robust and efficient approach for extracting approximate solutions of multi-objective problems because of their capability to evolve a set of non-dominated solutions distributed along the Pareto frontier. The convergence rate and suitable diversity of solutions are of great importance for multi-objective evolutionary algorithms. The focus of this paper is on a hybrid method combining two heuristic optimization techniques, Invasive Weed Optimization (IWO) and Particle Swarm Optimization (PSO), to find approximate solutions for multi-objective optimal control problems (MOCPs). In the proposed method, the process of dispersal has been modified in the MOIWO. This modification will increase the exploration power of the weeds and reduces the search space gradually during the iteration process. Thus, the convergence rate and diversity of solutions along the Pareto frontier have been promote. Finally, the ability of the proposed algorithm is evaluated and compared with conventional NSGA-II and NSIWO algorithms using three practical MOCPs. The results show that the proposed algorithm has better performance than others in terms of computing time, convergence and diversity.Sat, 30 Nov 2019 20:30:00 +0100On bounded weak approximate identities and a new version of them
http://gadm.du.ac.ir/article_154_40.html
In this paper, we give a short survey of results and problems concerning the notion of bounded weak approximate identities in Banach algebras. Also, we introduce a new version of approximate identities and give one illuminating example to show the difference.Sat, 30 Nov 2019 20:30:00 +0100Fixed points of $(\psi,\varphi)_{\Omega}$-contractive mappings in ordered p-metric spaces
http://gadm.du.ac.ir/article_155_40.html
In this paper, we introduce the notion of an extended metric space ($p$-metric space) as a new generalization of the concept of $b$-metric space. Also, we present the concept of $(psi ,varphi )_{Omega}$-contractive mappings and we establish some fixed point results for this class of mappings in ordered complete $p$-metric spaces. Our results generalize several well-known comparable results in the literature. Finally, examples support our results.Sat, 30 Nov 2019 20:30:00 +0100Derivations on dual triangular Banach algebras
http://gadm.du.ac.ir/article_156_40.html
Ideal Connes-amenability of dual Banach algebras was investigated in [17] by A. Minapoor, A. Bodaghi and D. Ebrahimi Bagha. They studied weak∗continuous derivations from dual Banach algebras into their weak∗-closed two- sided ideals. This work considers weak∗-continuous derivations of dual triangular Banach algebras into their weak∗-closed two- sided ideals . We investigate when weak∗continuous derivations from these algebras into their weak∗-closed ideals are inner?Sat, 30 Nov 2019 20:30:00 +0100