Results 1 to 10 of about 399,071 (149)
Existence of a solution for a general order boundary value problem using the Leray-Schauder fixed point theorem [PDF]
Vojnotehnički Glasnik, 2021 Introduction/purpose: This paper illustrates the existence of a generic Green’s function for a boundary value problem of arbitrary order that appears in many phenomena of heat convection, e.g. in the atmosphere, in the oceans, and on the Sun’s surface.
Nicola Fabiano, Vahid Parvaneh
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MODIFIED PROXIMAL POINT ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEM IN CAT(0) SPACES
Ural Mathematical Journal, 2021 In this paper, we study modified-type proximal point algorithm for approximating a common solution of a lower semi-continuous mapping and fixed point of total asymptotically nonexpansive mapping in complete CAT(0) spaces.
Godwin Chidi Ugwunnadi
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Completeness Problem via Fixed Point Theory
Complex Analysis and Operator Theory, 2023 AbstractThe purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-
Rizwan Anjum +2 more
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Axioms, 2021 In this paper, a new self-adaptive step size algorithm to approximate the solution of the split minimization problem and the fixed point problem of nonexpansive mappings was constructed, which combined the proximal algorithm and a modified Mann’s ...
Nattakarn Kaewyong +1 more
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Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces
Mathematics, 2020 In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces.
Xuejiao Zi, Zhaoli Ma, Wei-Shih Du
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Journal of Inequalities and Applications, 2022 In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces.
Yasir Arfat +5 more
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Approximate Equilibrium Problems and Fixed Points [PDF]
International Journal of Analysis, 2013 We find a common element of the set of fixed points of a map and the set of solutions of an approximate equilibrium problem in a Hilbert space. Then, we show that one of the sequences weakly converges. Also we obtain some theorems about equilibrium problems and fixed points.
Mazaheri, H., Mohsenalhosseini, S. A. M.
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A note on fixed point method and linear complementarity problem
Journal of Numerical Analysis and Approximation Theory, 2023 In this article, we present a general form of the fixed point method for processing the large and sparse linear complementarity problem, as well as a general condition for the method's convergence when the system matrix is a \(P\)-matrix and some ...
Bharat Kumar, Deepmala, Arup K Das
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Anderson Acceleration for Nonsmooth Fixed Point Problems
SIAM Journal on Numerical Analysis, 2022 We give new convergence results of Anderson acceleration for the composite $\max$ fixed point problem. We prove that Anderson(1) and EDIIS(1) are q-linear convergent with a smaller q-factor than existing q-factors. Moreover, we propose a smoothing approximation of the composite max function in the contractive fixed point problem.
Wei Bian, Xiaojun Chen
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Iterative Approximate Solutions for Variational Problems in Hadamard Manifold
Axioms, 2022 The goal of this paper is to propose and investigate new iterative methods for examining an approximate solution of a fixed-point problem, an equilibrium problem, and a finite collection of variational inclusions in the Hadamard manifold’s structure ...
Mohammad Dilshad +3 more
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