Fixed Point Theory and Algorithms for Sciences and Engineering
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
Solving an integral equation via generalized controlled fuzzy metrics
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-13 - 2022
The purpose of this manuscript is to obtain some fixed point results in generalized controlled fuzzy metric spaces. Our results generalize and extend many of the previous findings in the same approach. Moreover, two examples to support our theorems are obtained. Finally, to examine and strengthen the theoretical results, the existence and uniqueness of the solution to a nonlinear integral equation......
Self-adaptive forward–backward splitting algorithm for the sum of two monotone operators in Banach spaces
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-16 - 2022
In this work, we prove the weak convergence of a one-step self-adaptive algorithm to a solution of the sum of two monotone operators in 2-uniformly convex and uniformly smooth real Banach spaces. We give numerical examples in infinite-dimensional spaces to compare our result with some existing algorithms. Finally, our results extend and complement several existing results in the literature.
Circumcentering approximate reflections for solving the convex feasibility problem
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-30 - 2022
The circumcentered-reflection method (CRM) has been applied for solving convex feasibility problems. CRM iterates by computing a circumcenter upon a composition of reflections with respect to convex sets. Since reflections are based on exact projections, their computation might be costly. In this regard, we introduce the circumcentered approximate-reflection method (CARM), whose reflections rely o......
A self-adaptive extragradient method for fixed-point and pseudomonotone equilibrium problems in Hadamard spaces
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2023 - Trang 1-22 - 2023
In this work, we study a self-adaptive extragradient algorithm for approximating a common solution of a pseudomonotone equilibrium problem and fixed-point problem for multivalued nonexpansive mapping in Hadamard spaces. Our proposed algorithm is designed in such a way that its step size does not require knowledge of the Lipschitz-like constants of the bifunction. Under some appropriate conditions,......
Strongly regular points of mappings
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2021 - Trang 1-13 - 2021
In this paper, we use a robust lower directional derivative and provide some sufficient conditions to ensure the strong regularity of a given mapping at a certain point. Then, we discuss the Hoffman estimation and achieve some results for the estimate of the distance to the set of solutions to a system of linear equalities. The advantage of our estimate is that it allows one to calculate the coeff......
Nonlinear analysis in p-vector spaces for single-valued 1-set contractive mappings
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-61 - 2022
The goal of this paper is to develop some fundamental and important nonlinear analysis for single-valued mappings under the framework of p-vector spaces, in particular, for locally p-convex spaces for
$0 < p \leq 1$
. More precisely, based on the fixed point theorem of single-valued continuous cond......
A remark on Secelean–Wardowski’s fixed point theorems
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-7 - 2022
In this paper we give a simple proof of three fixed point theorems of Secelean and Wardowski by using the fixed point result of Jachymski et al. Our result is established with weaker assumptions than the three theorems. Furthermore, the recent result of Secelean et al. in the setting of a complete metric space can be also deduced by our theorem.
New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2021 - Trang 1-20 - 2021
We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudomonotone and Lipschitz continuous vector fields, we prove that any sequence generated by the proposed methods converges to a solution of variational inequality problem, whenever it exits. More......
Existence of common fixed point in Kannan F-contractive mappings in quasi-partial b-metric space with an application
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-19 - 2022
The purpose of this study is to demonstrate results on fixed point theory in quasi-partial b-metric space recognizing a new type of mapping, which is a blend of F-contraction and Kannan contraction, and to establish the fixed point results in F-expanding type mappings. Additionally, the obtained results are the application of the contractive mappings to functional equations. Furthermore, Mathemati......
Convergence results on the general inertial Mann–Halpern and general inertial Mann algorithms
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2023 - Trang 1-14 - 2023
In this paper, we prove strong convergence theorem of the general inertial Mann–Halpern algorithm for nonexpansive mappings in the setting of Hilbert spaces. We also prove weak convergence theorem of the general inertial Mann algorithm for k-strict pseudo-contractive mappings in the setting of Hilbert spaces. These convergence results extend and generalize some existing results in the literature. ......
Tổng số: 57
- 1
- 2
- 3
- 4
- 5
- 6