Huaping Huang
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View article: An algorithm for nonlinear problems with variational inequality methods
An algorithm for nonlinear problems with variational inequality methods Open
The purpose of this paper is to introduce a mapping in the framework of a 2-uniformly smooth and uniformly convex Banach space and obtain a common solution for the fixed point set of finite families of -enriched non-expansive mappings and…
View article: Fixed Point Results of Expanding Mappings in Nonsolid Abstract Metric Spaces With Applications
Fixed Point Results of Expanding Mappings in Nonsolid Abstract Metric Spaces With Applications Open
In this paper, several fixed point results of expanding mappings in the extended abstract metric spaces are established with nonsolid cones. The definitions of Cauchy sequences, convergent sequences, and completeness in the nonsolid extend…
View article: On fixed point theorems for ordered contractions with applications
On fixed point theorems for ordered contractions with applications Open
The purpose of this paper is to prove some fixed point theorems for ordered contractions in partially ordered $ b $-metric spaces. We consider several common fixed point and coincidence point results for four mappings in such spaces. The r…
View article: Best proximity point results for proximal contraction in topological spaces
Best proximity point results for proximal contraction in topological spaces Open
View article: Two fixed point theorems in complete metric spaces
Two fixed point theorems in complete metric spaces Open
Two new classes of self-mappings defined on a complete metric space $ (M, d) $ are introduced. The first one, called the class of $ p $-contractions with respect to a family of mappings, includes mappings $ F: M\to M $ satisfying a contrac…
View article: Common Fixed Point of (ψ, β, L)-Generalized Contractive Mapping in Partially Ordered b-Metric Spaces
Common Fixed Point of (ψ, β, L)-Generalized Contractive Mapping in Partially Ordered b-Metric Spaces Open
The purpose of this paper is to attain the existence of coincidences and common fixed points in four mappings satisfying (ψ,β,L)-generalized contractive conditions in the framework of partially ordered b-metric spaces. The main results pre…
View article: Fixed Point Results in Generalized Menger Probabilistic Metric Spaces with Applications to Decomposable Measures
Fixed Point Results in Generalized Menger Probabilistic Metric Spaces with Applications to Decomposable Measures Open
The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results. In addition, several inter…
View article: Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications”
Editorial Conclusion for the Special Issue “Fixed Point Theory and Computational Analysis with Applications” Open
Fixed point theory is a fascinating subject that has a wide range of applications in many areas of mathematics [...]
View article: Reinsurance Policy under Interest Force and Bankruptcy Prohibition
Reinsurance Policy under Interest Force and Bankruptcy Prohibition Open
In this paper, we solve an optimal reinsurance problem in the mathematical finance area. We assume that the surplus process of the insurance company follows a controlled diffusion process and the constant interest rate is involved in the f…
View article: On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings
On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings Open
The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C is a compact mapping, A is a bounded, closed and c…
View article: Cash Flow Optimization on Insurance: An Application of Fixed-Point Theory
Cash Flow Optimization on Insurance: An Application of Fixed-Point Theory Open
The purpose of this paper is to explore a discrete-time cash flow optimization problem of the insurance company with time value of ruin under different interest rates. For the sake of considering the time value of ruin, we assume that the …
View article: The Asymptotic Behavior for Generalized Jiřina Process
The Asymptotic Behavior for Generalized Jiřina Process Open
As the classic branching process, the Galton-Watson process has obtained intensive attentions in the past decades. However, this model has two idealized assumptions–discrete states and time-homogeneity. In the present paper, we consider a …
View article: The Gao-Type Constant of Absolute Normalized Norms on ℝ2
The Gao-Type Constant of Absolute Normalized Norms on ℝ2 Open
In this paper, we present an extraordinary method to calculate the Gao-type constant of absolute normalized norms on R2. By using our method, we not only provide the values of the Gao-type constant in new specific spaces, but also improve …
View article: Some Fixed Point Results in E-Metric Spaces and an Application
Some Fixed Point Results in E-Metric Spaces and an Application Open
The purpose of this paper is to study several fixed point problems in E-metric spaces. Mainly, we show the existence and uniqueness of fixed points for two contractive mappings, including Ćirić type contraction and α-ψ type contraction in …
View article: On a New Integral Inequality: Generalizations and Applications
On a New Integral Inequality: Generalizations and Applications Open
In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided.
View article: Fixed Point Results for Generalized F-Contractions in b-Metric-like Spaces
Fixed Point Results for Generalized F-Contractions in b-Metric-like Spaces Open
The purpose of this paper is to introduce several generalized F-contractions in b-metric-like spaces and establish some fixed point theorems for such contractions. Moreover, some nontrivial examples are given to illustrate the superiority …
View article: On \({\mathbb{BID}}\)-Cone b-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems
On \({\mathbb{BID}}\)-Cone b-Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems Open
In this paper, we introduce the concepts of an inferior idempotent cone and a BID-cone b-metric space over Banach algebra. We establish some new existence theorems and fixed point theorems in the setting of complete BID-cone b-metric space…
View article: Remarks on Recent Results for Generalized F-Contractions
Remarks on Recent Results for Generalized F-Contractions Open
In this paper, we give some remarks on the recent papers on generalized F-contractions. Our results unify and generalize the previous results in the existing literature. Moreover, we give an example to support our results. As an applicatio…
View article: Deterministic and probabilistic evaluation of raw and post-processing monthly precipitation forecasts: a case study of China
Deterministic and probabilistic evaluation of raw and post-processing monthly precipitation forecasts: a case study of China Open
Monthly Precipitation Forecasts (MPF) play a critical role in drought monitoring, hydrological forecasting and water resources management. In this study, we applied two advanced Machine Learning Models (MLM) and latest General Circulation …
View article: A Medium and Long-Term Runoff Forecast Method Based on Massive Meteorological Data and Machine Learning Algorithms
A Medium and Long-Term Runoff Forecast Method Based on Massive Meteorological Data and Machine Learning Algorithms Open
Accurate and reliable predictors selection and model construction are the key to medium and long-term runoff forecast. In this study, 130 climate indexes are utilized as the primary forecast factors. Partial Mutual Information (PMI), Recur…
View article: On Convex F-Contraction in b-Metric Spaces
On Convex F-Contraction in b-Metric Spaces Open
In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, we give a supportive example to show that our convex F-contraction is quite different f…
View article: Nonlinear Functional Analysis and Its Applications
Nonlinear Functional Analysis and Its Applications Open
This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed poi…
View article: Rational Type Contractions in Extended b-Metric Spaces
Rational Type Contractions in Extended b-Metric Spaces Open
In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nont…
View article: Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F-Contraction
Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F-Contraction Open
The purpose of this paper is to introduce a new type of contraction called fuzzy F-contraction. As compared to the F-contraction in the existing literature, our fuzzy F-contraction is much simpler and more straightforward, since it contain…
View article: A NEW GENERALIZATION OF <inline-formula><tex-math id="M1">$ \mathcal{F} $</tex-math></inline-formula>-METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION
A NEW GENERALIZATION OF -METRIC SPACES AND SOME FIXED POINT THEOREMS AND AN APPLICATION Open
In this paper, we extend $ \mathcal{F} $-metric spaces to more general spaces, named generalized $ \mathcal{F} $-metric spaces and establish some fixed point theorems via comparison function, $ F $-contraction, Geraghty contraction and JS…
View article: A Nonlinear Robust Sliding Mode Controller with Auxiliary Dynamic System for the Hovering Flight of a Tilt Tri-Rotor UAV
A Nonlinear Robust Sliding Mode Controller with Auxiliary Dynamic System for the Hovering Flight of a Tilt Tri-Rotor UAV Open
The tilt tri-rotor unmanned aerial vehicle (UAV) has three flight modes: the hover mode, the transition mode, and the fixed-wing mode. Controller design in the hover mode is the premise of realizing stable flight of this kind of UAV. Due t…
View article: Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces
Caristi Type Cyclic Contraction and Coupled Fixed Point Results in Bipolar Metric Spaces Open
In this paper, we establish the existence of common coupled fixed point results for new Caristi type contraction of three covariant mappings in Bipolar metric spaces. Some interesting consequences of our results are achieved. Moreover, we …
View article: New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e0-Metrics
New Generalized Mizoguchi-Takahashi’s Fixed Point Theorems for Essential Distances and e0-Metrics Open
In this paper, we present some new generalizations of Mizoguchi-Takahashi’s fixed point theorem which also improve and extend Du-Hung’s fixed point theorem. Some new examples illustrating our results are also given. By applying our new res…
View article: Topological Properties of E-Metric Spaces with Applications to Fixed Point Theory
Topological Properties of E-Metric Spaces with Applications to Fixed Point Theory Open
The purpose of this paper is to present some topological properties in E-metric spaces such as the properties of e-sequences, the decision conditions of e-Cauchy sequences, the characteristics of non-normal cones, and so on. Moreover, the …
View article: Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces
Some Fixed Point Results for the Generalized $F$-suzuki Type Contractions in $b$-metric Spaces Open
Compared with the previous work, the aim of this paper is to introduce the more general concept of the generalized $F$-Suzuki type contraction mappings in $b$-metric spaces, and to establish some fixed point theorems in the setting of $b$-…