The Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations by Xia Wang, Run Xu

“…We prove existence and uniqueness theorems for CFR-type initial value problem. By Green’s function and its corresponding maximum value, we obtain the Lyapunov-type inequality of corresponding equations. …”
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Some Convergence and Stability Results for the Kirk Multistep and Kirk-SP Fixed Point Iterative Algorithms by Faik Gürsoy, Vatan Karakaya, B. E. Rhoades

“…The purpose of this paper is to introduce a new Kirk type iterative algorithm called Kirk multistep iteration and to study its convergence. We also prove some theorems related to the stability results for the Kirk multistep and Kirk-SP iterative processes by employing certain contractive-like operators. …”
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Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups by Fang Li, Huiwen Wang, Jun Zhang

“…We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. …”
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Existence and Uniqueness of Solutions for a Fractional Hybrid System with Nonseparated Integral Boundary Hybrid Conditions by M. Hannabou, M. Bouaouid, K. Hilal

“…We are going to use Banach’s and Leray-Schauder alternative fixed point theorems to obtain the main results. Lastly, we are giving two examples to show the effectiveness of the main results.…”
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Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces by Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Nabil Mlaiki

“…In this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. …”
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Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations by Hong-Rui Sun, Ya-Ning Li, Juan J. Nieto, Qing Tang

“…The main tools are variational method and critical point theorems. Some examples are also given to illustrate the main results.…”
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Localization and summability of multiple Hermite series by G. E. Karadzhov, E. E. El-Adad

“…More precisely, localization theorems for some classes of functions are proved and sharp sufficient conditions are given. …”
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On (p,q)-Analogue of Gamma Operators by Wen-Tao Cheng, Wen-Hui Zhang

“…Finally, some direct theorems concerned with the rate of convergence and the weighted approximation for these operators are also obtained.…”
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Classes of Meromorphic Functions Defined by the Hadamard Product by J. Dziok

“…Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. …”
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Some Additional Axioms for T-normal Logics. Defining K45, KB4, KD45 and S5 without Using Modal Rules by Andrzej Pietruszczak

“…We will prove determination theorems for these extensions by appropriate Kripke-style models. …”
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Morphism of m-Polar Fuzzy Graph by Ch. Ramprasad, P. L. N. Varma, S. Satyanarayana, N. Srinivasarao

“…The action of m-polar h-morphism on m-polar fuzzy graphs is studied. Some elegant theorems on weak and coweak isomorphism are obtained. …”
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General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces by Peichao Duan, Aihong Wang

“…In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by many others.…”
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Univalent Logharmonic Mappings in the Plane by Zayid Abdulhadi, Rosihan M. Ali

“…Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. …”
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Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions by Ahmed Alsaedi, Sotiris K. Ntouyas, Bashir Ahmad

“…Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right-hand side of the inclusion has convex as well as nonconvex values. …”
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Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions by E. E. Chima, M. O. Osilike

“…We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings.…”
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Classes of Harmonic Functions Defined by Subordination by Jacek Dziok

“…By using extreme points theory we also obtain coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions. …”
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The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions by Qun Gao

“…The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.…”
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Liminf and limsup contractions by Alberto Branciari

“…We give some theorems related to the contraction mapping principle of Banach-Caccioppoli and Edelstein. …”
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Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms by Rongsheng Ma, Donghe Pei

“…As the application of our theorems, we study the Ricci almost soliton on conformally flat Lorentzian generalized Sasakian-space-form.…”
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Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications by Prasit Cholamjiak, Suthep Suantai, Yeol Je Cho

“…We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. …”
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