Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces by Phakdi Charoensawan, Tanadon Chaobankoh

“…We obtain some best proximity theorems for such contractions. An example and several consequences are given. …”
Get full text

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. Some examples are given.…”
Get full text

A turnpike theorem for continuous-time control systems when the optimal stationary point is not unique by Musa A. Mamedov

Get full text

Strong Convergence Theorems for Mixed Equilibrium Problem and Asymptotically I-Nonexpansive Mapping in Banach Spaces by Bin-Chao Deng, Tong Chen, Yi-Lin Yin

“…Then, we prove some strong convergence theorems of the proposed hybrid algorithm to a common element of the above two sets under some suitable conditions.…”
Get full text

Strong Convergence Theorem of Implicit Iteration Process for Generalized Asymptotically Nonexpansive Mappings in Hilbert Space by Lili He, Lei Deng, Jianjun Liu

Get full text

From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

Get full text

Existence and Convergence Theorems by an Iterative Shrinking Projection Method of a Strict Pseudocontraction in Hilbert Spaces by Kasamsuk Ungchittrakool

“…The aim of this paper is to provide some existence theorems of a strict pseudocontraction by the way of a hybrid shrinking projection method, involving some necessary and sufficient conditions. …”
Get full text

On a New Modification of Baskakov Operators with Higher Order of Approximation by Ivan Gadjev, Parvan Parvanov, Rumen Uluchev

Subjects: Get full text

Gliding hump properties and some applications by Johann Boos, Daniel J. Fleming

Subjects: Get full text

Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings by Liang-cai Zhao, Shih-sen Chang

Get full text

A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations by Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

“…We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. …”
Get full text

A Majority Theorem for the Uncapacitated <i>p</i> = 2 Median Problem and Local Spatial Autocorrelation by Daniel A. Griffith, Yongwan Chun, Hyun Kim

Subjects: Get full text

Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem by Agnieszka Chlebowicz, Mohamed Abdalla Darwish, Kishin Sadarangani

“…Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. …”
Get full text

Viscosity Approximation Methods and Strong Convergence Theorems for the Fixed Point of Pseudocontractive and Monotone Mappings in Banach Spaces by Yan Tang

“…A strong convergence theorem is proved for a common element of the set of fixed points of a finite family of pseudocontractive mappings and the set of solutions of a finite family of monotone mappings. …”
Get full text

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem by S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi

“…Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems. …”
Get full text

Common Fixed Point Theorems on Generalized Ratio Contraction Mapping in Extended Rectangular b-Metric Spaces by Budi Nurwahyu

“…In this paper, we propose and prove the common fixed point theorems on generalized contraction mappings in extended rectangular b-metric spaces by utilizing the weakly compatible function property.…”
Get full text

Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space by Mi Zhou, Xiao-lan Liu, Nicolae Adrian Secelean

“…Our results extend and improve very recent theorems in the related literature.…”
Get full text

Common Fixed Point Theorem for Multivalued Mappings Using Ternary Relation in G-Metric Space with an Application by Lucas Wangwe

“…This paper proves a common fixed point theorem for single-valued and multivalued mappings by using ternary relation in G-metric spaces. …”
Get full text

Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w by Maciej Ciesielski, Anna Kamińska

“…The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f**)pw<∞} for any 0<p<∞ and a nonnegative locally integrable weight function w, where f** is a maximal function of the decreasing rearrangement f* for any measurable function f on (0,α), with 0<α≤∞. …”
Get full text

Generation Method of Multipiecewise Linear Chaotic Systems Based on the Heteroclinic Shil’nikov Theorem and Switching Control by Chunyan Han, Fang Yuan, Xiaoyuan Wang

“…Based on the heteroclinic Shil’nikov theorem and switching control, a kind of multipiecewise linear chaotic system is constructed in this paper. …”
Get full text