Fixed Point Theory and Algorithms for Sciences and Engineering

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Circumcentering approximate reflections for solving the convex feasibility problem
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-30 - 2022
G. H. M. Araújo, R. Arefidamghani, R. Behling, Y. Bello-Cruz, A. Iusem, L.-R. Santos
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...... hiện toàn bộ
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
George Xianzhi Yuan
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...... hiện toàn bộ
On a new generalization of a Perov-type F-contraction with application to a semilinear operator system
Fixed Point Theory and Algorithms for Sciences and Engineering - - 2024
Muhammad Sarwar, Syed Khayyam Shah, Kamaleldin Abodayeh, Arshad Khan, Ishak Altun
This manuscript aims to present new results about the generalized F-contraction of Hardy–Rogers-type mappings in a complete vector-valued metric space, and to demonstrate the fixed-point theorems for single and pairs of generalized F-contractions of Hardy–Rogers-type mappings. The established results represent a significant development of numerous previously published findings and results in the e...... hiện toàn bộ
Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2023 - Trang 1-23 - 2023
Ravikumar Kasinathan, Ramkumar Kasinathan, Varshini Sandrasekaran, Juan J. Nieto
The purpose of this work is to investigate a novel class of noninstantaneous impulsive stochastic integrodifferential equations (SIDEs) driven by Brownian motion and Rosenblatt process. We construct a new set of adequate assumptions for the existence and uniqueness of mild solutions using stochastic analysis, analytic semigroup theory, integral equation theory, and a fixed point methodology. Addit...... hiện toàn bộ
From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-28 - 2022
Joachim Gwinner
This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then monotone and pseudomonotone bifunctions. We develop our existence theory first in general topological vector spaces, then in reflexive Banach spaces...... hiện toàn bộ
Fixed point theorem and iterated function system in φ-metric modular space
Fixed Point Theory and Algorithms for Sciences and Engineering - - 2024
Bikramjit Acharjee, Guru Prem Prasad M
We introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact subsets of the considered space. Some topological properties of φ-metric modular space are also explored. Additionally, we prove the existence of the attractor (fractal) of the IFS consis...... hiện toàn bộ
Thuật toán ngưỡng thu nhỏ lặp cải tiến nhanh với sai số cho bài toán phục hồi hình ảnh Dịch bởi AI
Fixed Point Theory and Algorithms for Sciences and Engineering - - 2021
Pattanapong Tianchai
Tóm tắtTrong bài báo này, chúng tôi giới thiệu một phương pháp phân tách tiến-lùi lặp mới với sai số để giải quyết vấn đề bao gồm biến phân của tổng hai toán tử đơn điệu trong không gian Hilbert thực. Chúng tôi đề xuất và phân tích phương pháp này dưới một số điều kiện nhẹ nhàng thích hợp áp dụng cho các tham số, sao cho một định lý hội tụ mạnh khác cho những vấn đ...... hiện toàn bộ
Neutral functional sequential differential equations with Caputo fractional derivative on time scales
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2022 - Trang 1-16 - 2022
Jamal Eddine Lazreg, Nadia Benkhettou, Mouffak Benchohra, Erdal Karapinar
In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray–Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the app...... hiện toàn bộ
Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering - - 2021
Min Ling, Weimin Han
AbstractThis paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point. The hemivariational inequality describes a stationary incompressible fluid flow subject to a nonslip boundary condition and a Clarke subdifferential relation between the tota...... hiện toàn bộ
Equivalence of some results and fixed-point theorems in S-multiplicative metric spaces
Fixed Point Theory and Algorithms for Sciences and Engineering - Tập 2024 - Trang 1-13 - 2024
Olusola Kayode Adewale, Samuel Olusola Ayodele, Babatunde Eriwa Oyelade, Emmanuella Ehui Aribike
In this paper, some fixed-point theorems are stated and proved in S-multiplicative metric spaces. We also show in this paper that some fixed-point results for various S-multiplicative metric spaces are equivalent to those of corresponding fixed-point results in S-metric spaces. Some examples are presented to validate the originality and applicability of our main results.
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