Generalized Mixed Equilibria, Variational Inclusions, and Fixed Point Problems by A. E. Al-Mazrooei, A. S. M. Alofi, A. Latif, J.-C. Yao

“…We prove some strong and weak convergence theorems for the proposed iterative algorithms under suitable conditions.…”
Get full text

Contribution for the Summation Formulas for the Generalized Hypergeometric Series F65−1 by Prathima Jayarama, Dongkyu Lim, Arjun Kumar Rathie

“…For this, we have established eight theorems containing general results. This is achieved by means of applying generalized Watson’s and Dixon’s summation formulas obtained earlier by Lavoie et al. into a known transformation formula available in the literature. …”
Get full text

On Best Proximity Points under the -Property on Partially Ordered Metric Spaces by Mohamed Jleli, Erdal Karapinar, Bessem Samet

“…In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view.…”
Get full text

Synchronization of Chaotic Systems with Dead Zones via Fuzzy Adaptive Variable-Structure Control by Yongbing Huangfu, Kaijuan Xue

“…Based on the Lyapunov stability theorems, by using fuzzy inference to estimate system uncertainties and by designing effective fuzzy adaptive controllers, the synchronization between two chaotic systems with dead zones is realized and a fuzzy variable-structure control is implemented. …”
Get full text

Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type by Fei He

“…We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with a Q-function. …”
Get full text

Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions. …”
Get full text

On Q-algebras by Joseph Neggers, Sun Shin Ahn, Hee Sik Kim

“…We introduce a new notion, called a Q-algebra, which is a generalization of the idea of BCH/BCI/BCK-algebras and we generalize some theorems discussed in BCI-algebras. Moreover, we introduce the notion of quadratic Q-algebra, and show that every quadratic Q-algebra (X;∗,e), e∈X, has a product of the form x∗y=x−y+e, where x,y∈X when X is a field with |x|≥3.…”
Get full text

Trapezoidal Type Fejér Inequalities Related to Harmonically Convex Functions and Application by Sercan Turhan

“…By using a mapping M(t), the new theorems and corollaries are obtained. Taking advantage of these, applications were given for some real number averages.…”
Get full text

Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms by Dae Ho Jin

“…Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.…”
Get full text

Soft discernibility matrix and attribute reduction for information systems by YAN De-qin1, LI Ke-qiu2, CHI Zhong-xian2

“…A new concept of soft discernibility matrix was proposed, and related theorems were given. By using soft discernibility matrix,attribute reductions of incomplete information systems, fuzzy value information systems and vague sets value information systems were realized. …”
Get full text

The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations by Hong-Yan Xu, Zu-Xing Xuan

“…The main results of this paper are improvement of some theorems given by Shang and Gao.…”
Get full text

A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces by Bin-Chao Deng, Tong Chen, Baogui Xin

“…Under suitable conditions, some strong convergence theorems for approximating this common elements are proved. …”
Get full text

An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces by H. Zegeye, N. Shahzad

“…As a consequence, we provide a scheme that converges strongly to a common zero of finite family of monotone mappings under suitable conditions. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.…”
Get full text

Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings by Aftab Hussain, Nawab Hussain, Danish Ali

“…Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence theorems for Suzuki’s generalized nonexpansive maps. …”
Get full text

Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators by Azhar Hussain, Ahsan Ali, Vahid Parvaneh, Hassen Aydi

“…We present some related fixed point theorems. We investigate data dependence and strict fixed point results. …”
Get full text

On Positive Radial Solutions for a Class of Elliptic Equations by Ying Wu, Guodong Han

“…A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. …”
Get full text

Thickness in topological transformation semigroups by Tyler Haynes

“…We sketch earlier results, then give many equivalent conditions for thickness on τ-semigroups, and finally present theorems giving conditions for an invariant mean to exist on a function space.…”
Get full text

New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces by Hayel N. Saleh, Mohammad Imdad, Thabet Abdeljawad, Mohammad Arif

“…Utilizing our newly introduced notions, we establish some new fixed-point theorems in the setting of complete Branciari’s metric spaces, without using the Hausdorff assumption. …”
Get full text

Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces by N. Hussain, V. Parvaneh, S. J. Hoseini Ghoncheh

“…We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.…”
Get full text

The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn by Xiangdong Yang

“…The purpose of this paper is to give an extension of Müntz-Szasz theorems to multivariable weighted Banach space. Denote by {λk=(λk1,λk2,...…”
Get full text