Results 21 to 30 of about 1,214 (128)
Convergence of two‐step iterative scheme with errors for two asymptotically nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1965-1971, 2004., 2004 A two‐step iterative scheme with errors has been studied to approximate the common fixed points of two asymptotically nonexpansive mappings through weak and strong convergence in Banach spaces.
Hafiz Fukhar-ud-din, Safeer Hussain Khan
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce a family of topologies τp on metric‐type spaces (MTSs) using powers of the ϖb‐distance. Moreover, we investigate fundamental topological properties, including convergence, closed sets, Cauchy sequences, and Hausdorffness, showing how varying p > 0 affects these properties.
Ahad Hamoud Alotaibi +2 more
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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
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2075-2081, 2003., 2003 We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi‐nonexpansive type in Banach spaces.
Daya Ram Sahu, Jong Soo Jung
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Convergence Behavior of the F∗ Algorithm: Strong and Weak Results for Nonexpansive Mappings
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines the strong and weak convergence of the F∗ iterative approach to the fixed point of a nonexpansive mapping in the context of a Banach space. This work shows improved rate and efficiency of convergence. Furthermore, we proved that F∗ iterative algorithm converges to a fixed point faster than Picard, Mann, S, and Varat iterative ...
Anju Panwar +3 more
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Iterative methods for solving fixed‐point problems with nonself‐mappings in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 4, Page 193-216, 2003., 2003 We study descent‐like approximation methods and proximal methods of the retraction type for solving fixed‐point problems with nonself‐mappings in Hilbert and Banach spaces. We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively.
Yakov Alber, Simeon Reich, Jen-Chih Yao
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Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, Darbo’s fixed‐point theorem is extended by employing Geraghty–𝔽‐contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C([0, ς]), equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented,
Samira Hadi Bonab +5 more
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The fixed‐point property in Banach spaces containing a copy of c0
Abstract and Applied Analysis, Volume 2003, Issue 3, Page 183-192, 2003., 2003 We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed‐point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of c0 is asymptotically isometric, this result can be improved, because we can prove the failure of the ...
Maria A. Japón Pineda
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Strong and weak convergence of Ishikawa iterations for best proximity pairs
Open Mathematics, 2020 Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa +3 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
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