Results 41 to 50 of about 1,184 (114)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan +4 more
wiley +1 more source
Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
doaj +1 more source
Fixed point theorems for asymptotically contractive mappings [PDF]
, 2003 In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
core +4 more sources
A weak ergodic theorem for infinite products of Lipschitzian mappings
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 67-74, 2003., 2003 Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self‐mapping A of K, we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self‐mappings of K.
Simeon Reich, Alexander J. Zaslavski
wiley +1 more source
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.
Ismat Beg +4 more
wiley +1 more source
A remark on the approximate fixed‐point property
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 93-99, 2003., 2003 We give an example of an unbounded, convex, and closed set C in the Hilbert space l2 with the following two properties: (i) C has the approximate fixed‐point property for nonexpansive mappings, (ii) C is not contained in a block for every orthogonal basis in l2.
Tadeusz Kuczumow
wiley +1 more source
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal +3 more
wiley +1 more source
Mann iterates of directionally nonexpansive mappings in hyperbolic spaces
Abstract and Applied Analysis, Volume 2003, Issue 8, Page 449-477, 2003., 2003 In a previous paper, the first author derived an explicit quantitative version of a theorem due to Borwein, Reich, and Shafrir on the asymptotic behaviour of Mann iterations of nonexpansive mappings of convex sets C in normed linear spaces. This quantitative version, which was obtained by a logical analysis of the ineffective proof given by Borwein ...
Ulrich Kohlenbach, Laurenţiu Leuştean
wiley +1 more source
On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali +3 more
wiley +1 more source
Local uniform linear convexity with respect to the Kobayashi distance
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 367-373, 2003., 2003 We introduce the notion of local uniform linear convexity of bounded convex domains with respect to their Kobayashi distances.
Monika Budzyńska
wiley +1 more source