Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces by H. Zegeye, N. Shahzad

“…Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.…”
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Common α-Fuzzy Fixed Point Results for Kannan Type Contractions with Application by Amer Hassan Albargi, Jamshaid Ahmad

“…The purpose of this paper is to utilize complex valued extended b-metric space and obtain common α-fuzzy fixed point theorems under Kannan type contractions. As application, we derive common α-fixed point results for multivalued mappings in the context of complex valued extended b-metric space.…”
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Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique by H. R. Marasi, H. Aydi

“…By virtue of recent fixed point theorems on mixed monotone operators, we get some new straightforward results with a wide range of applications.…”
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Dual pairs of sequence spaces by Johann Boos, Toivo Leiger

“…The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe-Toeplitz duals E×(×∈{α,β}) combined with dualities (E,G),G⊂E×, and the SAK-property (weak sectional convergence). …”
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition by Betul Hicdurmaz

“…Previous theoretical results for the abstract form of the nonlinear fractional Schrödinger equation are revisited to derive new applications of these theorems on the nonlinear fractional Schrödinger problems with Neumann boundary condition. …”
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Solving Integral Equations by Means of Fixed Point Theory by E. Karapinar, A. Fulga, N. Shahzad, A. F. Roldán López de Hierro

“…In addition to this, the main contractivity condition makes use of the self-composition of the operator, whose associated theorems used to be more general than the corresponding ones by only using such mapping. …”
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On the Kronecker Products and Their Applications by Huamin Zhang, Feng Ding

“…This paper studies the properties of the Kronecker product related to the mixed matrix products, the vector operator, and the vec-permutation matrix and gives several theorems and their proofs. In addition, we establish the relations between the singular values of two matrices and their Kronecker product and the relations between the determinant, the trace, the rank, and the polynomial matrix of the Kronecker products.…”
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Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces by Aihong Wang

“…We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces. Our results improve and extend the corresponding results announced by many others recently.…”
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On the Deformation Retract of Kerr Spacetime and Its Folding by H. Rafat

“…The deformation retract of this space into itself and after the isometric folding has been discussed. Theorems concerning these relations have been deduced.…”
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Asymptotic Properties of Functionals of the Squared Periodograms for Stationary Random Fields by Lyudmyla Sakhno

“…Stationary Gaussian random fields are considered. Two limit theorems are stated: for the first one the certain condition of integrability of the spectral density of the field is assumed, and the second result is for spectral densities with the prescribed behavior near the points of singularities. …”
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Generalized Interpolative Contractions and an Application by Muhammad Nazam, Hassen Aydi, Aftab Hussain

“…We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation.…”
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Hybrid Projection Algorithm for Two Countable Families of Hemirelatively Nonexpansive Mappings and Applications by Zi-Ming Wang, Poom Kumam

“…Two countable families of hemirelatively nonexpansive mappings are considered based on a hybrid projection algorithm. Strong convergence theorems of iterative sequences are obtained in an uniformly convex and uniformly smooth Banach space. …”
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A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions by Wafa Shammakh

“…Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. …”
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Fixed Point Problems in Cone Rectangular Metric Spaces with Applications by Muhammad Nazam, Anam Arif, Hasan Mahmood, Sang Og Kim

“…In this paper, we introduce an ordered implicit relation and investigate some new fixed point theorems in a cone rectangular metric space subject to this relation. …”
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Convergence of Implicit and Explicit Schemes for an Asymptotically Nonexpansive Mapping in 𝑞-Uniformly Smooth and Strictly Convex Banach Spaces by Meng Wen, Changsong Hu, Zhiyu Wu

“…We also proved the strong convergence theorems of implicit and explicit schemes. The results obtained in this paper extend and improve many recent ones announced by many others.…”
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Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations by Qiong Wu

“…Under different hypotheses, some new theorems concerning the main objective are derived.…”
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A Note on Best Approximation in 0-Complete Partial Metric Spaces by Marta Demma, Mohamed Jleli, Bessem Samet, Calogero Vetro

“…We introduce some new concepts and consider significant theorems to support this fact.…”
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Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables by Yongfeng Wu, Mingzhu Song, Chunhua Wang

“…The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).…”
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Preservers for the p-Norm of Linear Combinations of Positive Operators by Gergő Nagy

“…The results of the work generalize, extend, and unify several former theorems.…”
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On the Diophantine equation x2+2k=yn by S. Akhtar Arif, Fadwa S. Abu Muriefah

“…By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the solutions of this equation in rational integers are proved. …”
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