Bounded Approximate Identities in Ternary Banach Algebras by Madjid Eshaghi Gordji, Ali Jabbari, Gwang Hui Kim

“…Hence, we prove Altman’s Theorem and Dixon’s Theorem for ternary Banach algebras.…”
Get full text

Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems by Xin-kun Wu, Jia-wei Chen, Yun-zhi Zou

“…Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.…”
Get full text

The Global Symmetry Group of Quantum Spectral Beams and Geometric Phase Factors by Elias Zafiris

“…Furthermore, we formulate and interpret physically the curvature recognition integrality theorem for unitary rays. Using this recognition theorem, we define the notion of a quantum spectral beam and show that it has an affine space structure with structure group given by the characters of the fundamental group.…”
Get full text

A New Conformable Fractional Derivative and Applications by Ahmed Kajouni, Ahmed Chafiki, Khalid Hilal, Mohamed Oukessou

“…We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition Dαft=limh⟶0ft+heα−1t−ft/h, for all t>0, and α∈0,1. …”
Get full text

An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces by Mohammad Farid, Rehan Ali, Watcharaporn Cholamjiak

“…Further, we prove that the sequence generated by the proposed theorem converges strongly to the common solution of our problem. …”
Get full text

On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus by Qing-Bo Cai, Guorong Zhou

“…In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on the rate of convergence by using the modulus of continuity of second order and Steklov mean are studied, a convergence theorem for the Lipschitz continuous functions is also obtained. …”
Get full text

Hβ-Hausdorff Functions and Common Fixed Points of Multivalued Operators in a b-Metric Space and Their Applications by Fahad Sameer Alshammari, Naif R. Alrashedi, Reny George

“…Hβ-Hausdorff functions for β∈0,1 are introduced, and common fixed-point theorems for a pair of multivalued operators satisfying generalized contraction conditions are proven in a b-metric space. …”
Get full text

Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces by Shahid Mehmood, Saif Ur Rehman, Ihsan Ullah, Rashad A. R. Bantan, Mohammed Elgarhy

“…In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. …”
Get full text

Analysis of the Gyroscopic Stability of the Wheelset by Hao Dong, Jing Zeng, Liang Wu, Huanyun Dai

“…Metelitsyn’s inequality theorem for asymptotic stability has some advantages to analyze this problem although this method is sufficient but not necessary condition. …”
Get full text

Counting Periodic Points in Parallel Graph Dynamical Systems by Juan A. Aledo, Ali Barzanouni, Ghazaleh Malekbala, Leila Sharifan, Jose C. Valverde

“…Furthermore, we provide some conditions under which these lower bounds are attained, thus generalizing the fixed-point theorem and the 2-period theorem for these systems.…”
Get full text

On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications by Józef Banaś, Rafał Nalepa

“…Using that condition and the classical Schauder fixed point theorem, we show the existence theorem for some quadratic integral equations of Fredholm type in the space of functions satisfying the Hölder condition. …”
Get full text

A New Hybrid Iterative Scheme for Countable Families of Relatively Quasi-Nonexpansive Mappings and System of Equilibrium Problems by Yekini Shehu

“…Using this result, we discuss strong convergence theorem concerning variational inequality and convex minimization problems in Banach spaces. …”
Get full text

An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces by Wanna Sriprad, Somnuk Srisawat

“…Also, we give some numerical examples for supporting our main theorem.…”
Get full text

A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations by Fang Li, Jin Liang, Tzon-Tzer Lu, Huan Zhu

“…We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. …”
Get full text

Existence Results for Strong Mixed Vector Equilibrium Problem for Multivalued Mappings by Adem Kılıçman, Rais Ahmad, Mijanur Rahaman

“…Using generalized Fan-Browder fixed point theorem (Takahashi 1976) and generalized pseudomonotonicity for multivalued mappings, we provide some existence results for strong mixed vector equilibrium problem without using KKM-Fan theorem. …”
Get full text

Solovay–Kitaev Approximations of Special Orthogonal Matrices by Anuradha Mahasinghe, Sachiththa Bandaranayake, Kaushika De Silva

“…The circuit-gate framework of quantum computing relies on the fact that an arbitrary quantum gate in the form of a unitary matrix of unit determinant can be approximated to a desired accuracy by a fairly short sequence of basic gates, of which the exact bounds are provided by the Solovay–Kitaev theorem. In this work, we show that a version of this theorem is applicable to orthogonal matrices with unit determinant as well, indicating the possibility of using orthogonal matrices for efficient computation. …”
Get full text

On the finite Fourier transforms of functions with infinite discontinuities by Branko Saric

“…The introductory part of the paper is provided to give a brief review of the stability theory of a matrix pencil for discrete linear time-invariant singular control systems, based on the causal relationship between Jordan's theorem from the theory of Fourier series and Laurent's theorem from the calculus of residues. …”
Get full text

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators by Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar

“…Then, a Voronovskaja-type theorem was given for the asymptotic behavior for these operators. …”
Get full text

Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations by Ping Yu, Hongju Li, Jian Ding, Yanli Ma

“…In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. …”
Get full text

Existence of Positive Solutions of a Discrete Elastic Beam Equation by Ruyun Ma, Jiemei Li, Chenghua Gao

“…Our approaches are based on the Krein-Rutman theorem and the global bifurcation theorem.…”
Get full text