TY - JOUR AU - Jalali Varnamkhasti, Mohammad AU - Vali, Masoumeh TI - A Special Mutation Operator in the Genetic Algorithm for Fixed Point Problems JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 SP - 1 EP - 7 PG - 7 SN - 2314-8896 DO - 10.1155/2023/7714095 UR - https://m2.mtmt.hu/api/publication/34572549 ID - 34572549 AB - Over the past century, the fixed point theory has emerged as a very useful and efficient tool in the study of nonlinear problems. This study introduced a progressed genetic algorithm (GA) based on a particular mutation operator applying on a subdivided search space where integer label and relative coordinates are used. This algorithm eventually categorizes each fixed point as its solution in appropriate set. Extensive computational experiments are conducted to assess the performance of the proposed technique with a standard GA for solving some nonlinear numerical functions from the literature. LA - English DB - MTMT ER - TY - JOUR AU - El Mokhtar, Mohammed El Mokhtar Ould TI - Existence and Nonexistence for Boundary Problem Involving the p-Biharmonic Operator and Singular Nonlinearities JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 PG - 6 SN - 2314-8896 DO - 10.1155/2023/7311332 UR - https://m2.mtmt.hu/api/publication/34458129 ID - 34458129 AB - This article concerns the existence and the nonexistence of solution for the following boundary problem involving the p-biharmonic operator and singular nonlinearities, Delta(2)(p)u = vertical bar u vertical bar gamma(-1)u + mu(vertical bar u vertical bar(-1-alpha)/vertical bar x vertical bar beta)u in O and u = partial derivative u/partial derivative n = 0 on partial derivative Omega, where 4 < 2p < N, 0 is an element of Omega, -infinity < mu < mu(*), = (N - 2p)(1 - alpha)/pN, p < gamma < p* = pN/N - 2p is the critical Sobolev exponent, 0 <= beta < N (gamma + alpha)/(gamma + 1), 0 < alpha < 1. Under some sufficient conditions on coefficients, we prove the existence of at least one nontrivial solutions in E by using variational methods. By using the Pohozaev identity type, we show the nonexistence of positive solution when Omega subset of R-N be a bounded, smoothandstrictlystar-shapeddomain, beta = 0 and gamma >= gamma(*), = pN(1 - alpha)/(N - 2p)(1 - alpha) - mu Np > p* = pN/N - 2p. LA - English DB - MTMT ER - TY - JOUR AU - Khan, Waseem Ahmad AU - Alatawi, Maryam Salem AU - Duran, Ugur TI - Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 PG - 10 SN - 2314-8896 DO - 10.1155/2023/5205867 UR - https://m2.mtmt.hu/api/publication/34271990 ID - 34271990 AB - In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first few zero values of the Eulerian polynomials, we draw graphical representations of these zero values. LA - English DB - MTMT ER - TY - JOUR AU - Moniri, Zahra AU - Moghaddam, Behrouz Parsa AU - Roudbaraki, Morteza Zamani TI - An Efficient and Robust Numerical Solver for Impulsive Control of Fractional Chaotic Systems JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 PG - 10 SN - 2314-8896 DO - 10.1155/2023/9077924 UR - https://m2.mtmt.hu/api/publication/34264577 ID - 34264577 AB - This paper derives a computationally efficient and fast-running solver for the approximate solution of fractional differential equations with impulsive effects. In this connection, for approximating the fractional-order integral operator, a B-spline version of interpolation by corresponding equal mesh points is adopted. An illustrative example illustrates the accuracy of the new solver results as compared with those of the previous study. The proposed solver's performance is evaluated by the fractional Rossler and susceptible-exposed-infectious impulsive systems. Moreover, the effect of impulsive behaviors is shown for various values of impulsive. LA - English DB - MTMT ER - TY - JOUR AU - Liu, Jia-Bao AU - Xie, Qing AU - Gu, Jiao-Jiao TI - Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 PG - 17 SN - 2314-8896 DO - 10.1155/2023/6675966 UR - https://m2.mtmt.hu/api/publication/33838666 ID - 33838666 AB - There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory. Based on the networks PECn, we first obtain the expected value expressions of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index, and additive degree-Kirchhoff index, and then, we get the explicit expression formulas of their variances. Finally, we find that their limiting distributions all have the probabilistic and statistical significance of normal distribution. LA - English DB - MTMT ER - TY - JOUR AU - Wu, Jianzhang AU - Yuan, Jiabin AU - Baskonus, Haci Mehmet AU - Gao, Wei TI - Forbidden Restrictions and the Existence of P ≥ 2 -Factor and P ≥ 3 -Factor JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2023 PY - 2023 IS - 1 PG - 16 SN - 2314-8896 DO - 10.1155/2023/9932025 UR - https://m2.mtmt.hu/api/publication/33781500 ID - 33781500 N1 - Funding Agency and Grant Number: Jiangsu Provincial Key Laboratory of Computer Network Technology, School of Cyber Science and Technology Funding text: This research was funded by Jiangsu Provincial Key Laboratory of Computer Network Technology, School of Cyber Science and Technology. AB - The existence of factor and fractional factor in network graph in various settings has raised much attention from both mathematicians and computer scientists. It implies the availability of data transmission and network segmentation in certain special settings. In our paper, we consider P ≥ 2 -factor and P ≥ 3 -factor which are two special cases of general H -factor. Specifically, we study the existence of these two kinds of path factor when some subgraphs are forbidden, and several conclusions on the factor-deleted graph, factor critical-covered graph, and factor uniform graph are given with regards to network parameters. Furthermore, we show that these bounds are best in some sense. LA - English DB - MTMT ER - TY - JOUR AU - Shi, Zhigao AU - Qian, Xiaotao TI - Multiple Positive Solutions and Estimates of Extremal Values for a Nonlocal Problem with Critical Sobolev Exponent and Concave-Convex Nonlinearities JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2022 PY - 2022 PG - 11 SN - 2314-8896 DO - 10.1155/2022/1011342 UR - https://m2.mtmt.hu/api/publication/34458020 ID - 34458020 AB - We are concerned with the following nonlocal problem involving critical Sobolev exponent {-(a-b integral(omega)|& nabla;u|(2)dx)delta u=lambda|u|(q-2)u+delta|u|(2)u, x epsilon omega, u=0, x epsilon & part;omega, where omega is a smooth bounded domain in R-4, a,b > 0, 1 < q < 2,delta, and lambda are positive parameters. We prove the existence of two positive solutions and obtain uniform estimates of extremal values for the problem. Moreover, the blow-up and the asymptotic behavior of these solutions are also discussed when b?0 and delta?0. In the proofs, we apply variational methods. LA - English DB - MTMT ER - TY - JOUR AU - Bakery, Awad A. AU - Mohamed, Elsayed A. E. TI - On the Nonlinearity of Extended s -Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2022 PY - 2022 SP - 1 EP - 20 PG - 20 SN - 2314-8896 DO - 10.1155/2022/2746942 UR - https://m2.mtmt.hu/api/publication/34160683 ID - 34160683 AB - We have defined and studied the weighted Nakano sequence spaces of fuzzy functions. We have constructed the ideal generated by extended s -fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mappings acting on this sequence space of fuzzy functions. Moreover, the existence of Caristi’s fixed point is examined. To show how the work is done, some examples and applications to the existence of solutions for a class of nonlinear summable and matrix equations are also talked about. LA - English DB - MTMT ER - TY - JOUR AU - Bakery, Awad A. AU - Mohamed, Elsayed A. E. TI - Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2022 PY - 2022 SP - 1 EP - 22 PG - 22 SN - 2314-8896 DO - 10.1155/2022/3811326 UR - https://m2.mtmt.hu/api/publication/34160676 ID - 34160676 AB - We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi-ideal generated by s -numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Caristi’s fixed point is examined. Some geometric properties related to the fixed point theory are presented. Finally, real-world examples and applications show solutions to some nonlinear difference equations. LA - English DB - MTMT ER - TY - JOUR AU - Yang, Heng AU - Yuan, Yanxiang AU - Liu, Jiu TI - On Nonlinear Schrodinger-Bopp-Podolsky System with Asymptotically Periodic Potentials JF - JOURNAL OF FUNCTION SPACES J2 - J FUNCT SPACE VL - 2022 PY - 2022 PG - 7 SN - 2314-8896 DO - 10.1155/2022/9287998 UR - https://m2.mtmt.hu/api/publication/33961917 ID - 33961917 AB - In the paper, we study the existence of ground states for a nonlinear Schrodinger-Bopp-Podolsky system with asymptotically periodic potentials. As a consequence, we also prove ground states for the nonlinear Schrodinger-Bopp-Podolsky system with periodic potentials. LA - English DB - MTMT ER -