Input-to-State Stability of Singularly Perturbed Control Systems with Delays by Yongxiang Zhao, Aiguo Xiao, Li Li

“…We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.…”
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Set of Oscillation Criteria for Second Order Nonlinear Forced Differential Equations with Damping by Ambarka Abdalla Salhin, Ummul Khair Salma Din, Rokiah Rozita Ahmad, Mohd Salmi Md Noorani

“…By employing a generalized Riccati technique and an integral averaging technique, some new oscillation criteria are established for the second order nonlinear forced differential equation with damping. …”
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A note on quasi R*-invariant measures on semigroups by N. A. Tserpes

“…A characterization of quasi r*-invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*-invariant measures and the topo-algebraic structure of their support.…”
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Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces by Saif Ur Rehman, Yongjin Li, Shamoona Jabeen, Tayyab Mahmood

“…In this paper, we present some common fixed point theorems for a pair of self-mappings in fuzzy cone metric spaces under the generalized fuzzy cone contraction conditions. We extend and improve some recent results given in the literature.…”
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On the Products of k-Fibonacci Numbers and k-Lucas Numbers by Bijendra Singh, Kiran Sisodiya, Farooq Ahmad

“…We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.…”
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Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions by Feixiang Chen, Shanhe Wu

“…Our results are the generalizations of some known results. Moreover, some properties of the mappings in connection with Hermite-Hadamard and Fejér type inequalities for harmonically convex functions are also considered.…”
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The Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization by Yang Yueting, Cao Mingyuan

“…We propose and generalize a new nonlinear conjugate gradient method for unconstrained optimization. …”
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Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces by Lei Deng, Juan Xiao

“…The results presented in the paper generalize and unify some important known results of relevant scholars.…”
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On Some Coincidence Best Proximity Point Results by Naeem Saleem, Haroon Ahmad, Hassen Aydi, Yaé Ulrich Gaba

“…In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and λ−μ-proximal Geraghty contractions in controlled metric type spaces. …”
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Some Remarks on the Extended Hartley-Hilbert and Fourier-Hilbert Transforms of Boehmians by S. K. Q. Al-Omari, A. Kılıçman

“…We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. …”
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Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces by Zaid Mohammed Fadail, Abd Ghafur Bin Ahmad

“…The aim of this paper is to extend and generalize some coupled fixed-point theorems on c-distance in cone metric space. …”
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Coupled Fixed Point Theorems for Some Type of Contraction Mappings in b-Cone and b-Theta Cone Metric Spaces by Sahar Mohamed Ali Abou Bakr

“…This paper proves the existence of a unique coupled fixed point of some type of contraction mappings defined on a complete b-cone and b-theta cone metric spaces; consequently, it extends and generalizes many previous coupled fixed point theorems.…”
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Osculating paraboloid by Kazimieras Navickis

“…In this article we generalize this concept to osculating paraboloids of higher order. …”
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Some Fixed-Point Results for a -Weak Contraction in -Metric Spaces by Wasfi Shatanawi, Mihai Postolache

“…We introduce the concepts of a -weak contraction mapping of types and and we establish some fixed point theorems for a -weak contraction mapping of types and in complete -metric spaces. Our results generalize several well-known comparable results in the literature.…”
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Existence of Subharmonic Solutions for a Class of Second-Order p-Laplacian Systems with Impulsive Effects by Wen-Zhen Gong, Qiongfen Zhang, X. H. Tang

“…By using minimax methods in critical point theory, a new existence theorem of infinitely many periodic solutions is obtained for a class of second-order p-Laplacian systems with impulsive effects. Our result generalizes many known works in the literature.…”
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Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space by Yong Liu

“…Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the corresponding known ones for holomorphic functions with several complex variables.…”
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Isometries of a function space by U. D. Vyas

“…It is proved here that an isometry on the subset of all positive functions of L1⋂Lp(ℝ) can be characterized by means of a function h together with a Borel measurable mapping ϕ of ℝ, thus generalizing the Banach-Lamparti theorem of Lp spaces.…”
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On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians by Cristian Anghel, Nicolae Buruiana

“…We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. …”
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On small Lebesgue spaces by Claudia Capone, Alberto Fiorenza

“…We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. …”
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Periodic Orbits for a Three-Dimensional Biological Differential Systems by Renato Colucci, Daniel Nuñez

“…Besides discussing a generalized version of the model, we present some remarks and numerical experiments for the nonautonomous version of the two models.…”
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