Results 1 to 10 of about 943 (54)
Abstract and Applied AnalysisThe paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive ...
Prashant Patel, Rahul Shukla
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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem.2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
M. Khamsi, A. Latif, Hamid Al-Sulami
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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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Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman +1 more
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A new class of unsaturated mappings: Ćirić-Reich-Rus contractions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 Using the technique of enriching contractive type mappings, we introduce a more general concept of enriched Ćirić-Reich-Rus contraction than the one studied in [Berinde, V.; Păcurar, M.
Berinde Vasile, Păcurar Mădălina
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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular [PDF]
Fixed Point Theory and Applications, 2011 Because of Minty's classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, monotone operator theory, and ...
Heinz H. Bauschke +3 more
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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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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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Fixed Point Index for Simulation Mappings and Applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, we construct the fixed point index for a class of contractive mapping defined by a simulation mapping and a measure of noncompact-ness noted by Zµ− contraction maps.
Benmezaï Abdelhamid +2 more
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An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
Fixed Point Theory and Applications, 2012 In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning Δ-convergence as well as strong convergence of the proposed algorithm are proved.
A. Khan +2 more
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