Algorithmic aspects of bipartite graphs by Mihály Bakonyi, Erik M. Varness

“…This paper considers an edge elimination process on bipartite graphs, presenting several theorems which lead to an algorithm for computing the minimal fill-in of a given ordered graph.…”
Get full text

On Generalized Rational α−Geraghty Contraction Mappings in G−Metric Spaces by N. Priyobarta, Bulbul Khomdram, Yumnam Rohen, Naeem Saleem

“…With this new contraction mapping, we establish some fixed-point theorems in G−metric space. The obtained result is verified with an example.…”
Get full text

Some Results on Generalized Pata–Suzuki Type Contractive Mappings by Merve Aktay, Murat Özdemir

“…In this work, we establish new fixed point theorems for generalized Pata–Suzuki type contraction via α-admissible mapping in metric spaces and to prove some fixed point results for such mappings. …”
Get full text

On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative by Ali El Mfadel, Said Melliani, M’hamed Elomari

“…In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. …”
Get full text

Common fixed points of single-valued and multivalued maps by Yicheng Liu, Jun Wu, Zhixiang Li

“…We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. …”
Get full text

On new classes of analytic functions with negative coefficients by Shigeyoshi Owa

“…The object of the present paper is to show coefficient inequalities and some closure theorems for functions f(z) in Kn*. Further we consider the modified Hadamard product of functions fi(z) in Kni*(n=1,2,…,m).…”
Get full text

Existence Results for ψ-Hilfer Fractional Integro-Differential Hybrid Boundary Value Problems for Differential Equations and Inclusions by Chanakarn Kiataramkul, Sotiris K. Ntouyas, Jessada Tariboon

“…Existence results are established for single and multivalued cases, by using suitable fixed-point theorems for the product of two single or multivalued operators. …”
Get full text

Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator by Jianxia Wang, Zhan Zhou

“…Examples are also given to illustrate our theorems in the last section.…”
Get full text

The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function by Xia Shen, Hong Yan Xu

“…The main aim of this paper is to establish some theorems concerning the error EnF,β, the Sun’s type function Ur, and Muσ,F of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. …”
Get full text

On the Homology Theory of Operator Algebras by Alaa Hassan Noreldeen

“…Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. …”
Get full text

Integral Type F-Contractions in Partial Metric Spaces by Vildan Ozturk

“…In this work, we defined generalized integral type F-contractions and proved common fixed point theorems for four mappings satisfying this type (Branciari type) of contractions in partial metric spaces.…”
Get full text

Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

“…Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. …”
Get full text

A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems by Watcharaporn Cholamjiak, Suthep Suantai

“…We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established.…”
Get full text

-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces by Luo Yi Shi, Ru Dong Chen, Yu Jing Wu

“…New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. …”
Get full text

Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions by Xue Wang, Bo Zhu

“…Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established under the condition of compact resolvent operator. …”
Get full text

Common α-Fuzzy Fixed Point Results with Applications to Volterra Integral Inclusions by Abdullah Eqal Al-Mazrooei, Jamshaid Ahmad

“…The purpose of this paper is to establish some common α-fuzzy fixed point theorems for a pair fuzzy mappings and obtain some results of literature for multivalued mappings. …”
Get full text

Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations by J. Džurina, B. Baculíková

“…The results obtained utilize also the comparison theorems.…”
Get full text

On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces by Qianglian Huang, Lanping Zhu, Xiaoru Chen, Chang Zhang

“…As special cases of our results, we recover the perturbation theorems of Wei and Wang, Castro and Koliha, Rakocevic and Wei, Castro and Koliha and Wei.…”
Get full text

Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order by Hui-Sheng Ding, Man-Man Liu, Juan J. Nieto

“…In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. …”
Get full text

Weak Subdifferential in Nonsmooth Analysis and Optimization by Şahlar F. Meherrem, Refet Polat

“…By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and Inceoglu, 2010), the author proves some theorems connecting weak subdifferential in nonsmooth and nonconvex analysis. …”
Get full text