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Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
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Journal of Advances in Applied & Computational Mathematics, 2023 In this article, we study a generalized system of mixed ordered variational inequalities problems with various operations in a real ordered product Banach space and discuss the existence of the solution of our considered problem.
Iqbal Ahmad, Mohammad Farid, S. S. Irfan
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Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]
SIAM Journal on Optimization, 2021 Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani +2 more
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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 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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Fixed Point Results for Zamfirescu Mappings in A-metric Spaces [PDF]
, 2021 In the present paper, we extend the Zamfirescu results ( [9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings.
I. Yildirim
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On unique and non-unique fixed point in parametric Nb−metric spaces with application
Acta Universitatis Sapientiae: Mathematica, 2022 We propose 𝒮𝒜, η−𝒮𝒜, η−𝒮 𝒜min, and 𝒮𝒜η,δ,ζ−contractions and notions of η−admissibility type b and ηb−regularity in parametric Nb-metric spaces to determine a unique fixed point, a unique fixed circle, and a greatest fixed disc.
Petwal Sudheer, Tomar Anita, Joshi Meena
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Firmly nonexpansive mappings in classes of geodesic spaces [PDF]
, 2012 Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators.
David Ariza-Ruiz +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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