Results 11 to 20 of about 1,184 (114)
Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
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Fixed point results in generalized suprametric spaces
Topological Algebra and its Applications, 2023 We introduce the concept of generalized suprametric spaces, which subsumes some existing abstract metric spaces. Then, we show the existence of fixed points for maps satisfying nonlinear contractions involving either extended comparison or ρ\rho ...
Berzig Maher
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Demonstratio Mathematica, 2021 The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol +2 more
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Demonstratio Mathematica, 2022 In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step size for approximating a common solution of finite family of split monotone variational inclusion problems and fixed point problem of a nonexpansive mapping ...
Ogwo Grace N. +2 more
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Fixed points of dynamic processes of set-valued F-contractions and application to functional equations [PDF]
, 2015 The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive mappings to the case of nonlinear F-
D Paesano +10 more
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Demonstratio Mathematica, 2023 In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
Patle Pradip Ramesh +2 more
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Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces
Arab Journal of Mathematical Sciences, 2018 In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
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Topological Algebra and its Applications, 2023 The aim of this article is to present some Δ\Delta -convergence and strong convergence results for a countable family of non-self mappings. More precisely, we employ Mann-Dotson’s algorithm to approximate, common fixed points of a countable family of non-
Patel Prashant, Shukla Rahul
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Rectangularity and paramonotonicity of maximally monotone operators [PDF]
, 2012 Maximally monotone operators play a key role in modern optimization and variational analysis. Two useful subclasses are rectangular (also known as star monotone) and paramonotone operators, which were introduced by Brezis and Haraux, and by Censor, Iusem
Bauschke, Heinz H. +2 more
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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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