Relevant bibliographies by topics / Mappings (Mathematics); Fixed point theory; Convex domains

Academic literature on the topic 'Mappings (Mathematics); Fixed point theory; Convex domains'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Mappings (Mathematics); Fixed point theory; Convex domains"

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Ahmad, Junaid, Kifayat Ullah, Hüseyin Işik, Muhammad Arshad, and Manuel de la Sen. "Iterative Construction of Fixed Points for Operators Endowed with Condition E in Metric Spaces." Advances in Mathematical Physics 2021 (July 9, 2021): 1–8. http://dx.doi.org/10.1155/2021/7930128.

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We consider the class of mappings endowed with the condition E in a nonlinear domain called 2-uniformly convex hyperbolic space. We provide some strong and Δ -convergence theorems for this class of mappings under the Agarwal iterative process. In order to support the main outcome, we procure an example of mappings endowed with the condition E and prove that its Agarwal iterative process is more effective than Mann and Ishikawa iterative processes. Simultaneously, our results hold in uniformly convex Banach, CAT(0), and some CAT( κ ) spaces. This approach essentially provides a new setting for researchers who are working on the iterative procedures in fixed point theory and applications.
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Muhammad, Noor, Ali Asghar, Samina Irum, Ali Akgül, E. M. Khalil, and Mustafa Inc. "Approximation of fixed point of generalized non-expansive mapping via new faster iterative scheme in metric domain." AIMS Mathematics 8, no. 2 (2022): 2856–70. http://dx.doi.org/10.3934/math.2023149.

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<abstract><p>In this paper, we establish a new iterative process for approximation of fixed points for contraction mappings in closed, convex metric space. We conclude that our iterative method is more accurate and has very fast results from previous remarkable iteration methods like Picard-S, Thakur new, Vatan Two-step and K-iterative process for contraction. Stability of our iteration method and data dependent results for contraction mappings are exact, correspondingly on testing our iterative method is advanced. Finally, we prove enquiring results for some weak and strong convergence theorems of a sequence which is generated from a new iterative method, Suzuki generalized non-expansive mappings with condition $ (C) $ in uniform convexity of metric space. Our results are addition, enlargement over and above generalization for some well-known conclusions with literature for theory of fixed point.</p></abstract>
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3

Abu-Muhanna, Yusuf, and Glenn Schober. "Harmonic Mappings onto Convex Domains." Canadian Journal of Mathematics 39, no. 6 (December 1, 1987): 1489–530. http://dx.doi.org/10.4153/cjm-1987-071-4.

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Let D be a simply-connected domain and w0 a fixed point of D. Denote by SD the set of all complex-valued, harmonic, orientation-preserving, univalent functions f from the open unit disk U onto D with f(0) = w0. Unlike conformai mappings, harmonic mappings are not essentially determined by their image domains. So, it is natural to study the set SD.In Section 2, we give some mapping theorems. We prove the existence, when D is convex and unbounded, of a univalent, harmonic solution f of the differential equationwhere a is analytic and |a| < 1, such that f(U) ⊂ D and
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Khan, Safeer Hussain. "Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/401650.

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We use a three-step iterative process to prove some strong andΔ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces.
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MURESAN, VIORICA, and ANTON S. MURESAN. "On the theory of fixed point theorems for convex contraction mappings." Carpathian Journal of Mathematics 31, no. 3 (2015): 365–71. http://dx.doi.org/10.37193/cjm.2015.03.13.

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Based on the concepts and problems introduced in [Rus, I. A., The theory of a metrical fixed point theorem: theoretical and applicative relevances, Fixed Point Theory, 9 (2008), No. 2, 541–559], in the present paper we consider the theory of some fixed point theorems for convex contraction mappings. We give some results on the following aspects: data dependence of fixed points; sequences of operators and fixed points; well-posedness of a fixed point problem; limit shadowing property and Ulam-Hyers stability for fixed point equations.
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MURESAN, ANTON S. "The theory of some asymptotic fixed point theorems." Carpathian Journal of Mathematics 30, no. 3 (2014): 361–68. http://dx.doi.org/10.37193/cjm.2014.03.07.

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In this paper we present the theory about some fixed point theorems for convex contraction mappings. We give some results on data dependence of fixed points, on sequences of operators and fixed points, on well-possedness of fixed point problem, on limit shadowing property and on Ulam-Hyers stability for equations of fixed points.
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FUKHAR-UD-DIN, HAFIZ. "Existence and approximation of a fixed point of a fundamentally nonexpansive mapping in hyperbolic spaces." Carpathian Journal of Mathematics 36, no. 1 (March 1, 2020): 71–80. http://dx.doi.org/10.37193/cjm.2020.01.07.

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We prove that a fundamentally nonexpansive mapping on a compact and convex subset of a hyperbolic space, has a fixed point. We also show that one-step iterative algorithm of two mappings is vital for the approximation of a common fixed point of two fundamentally nonexpansive mappings in a strictly convex hyperbolic space. Our results are new in metric fixed point theory and generalize several existing results.
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ALTUN, ISHAK, and GULHAN MINAK. "An extension of Assad-Kirk’s fixed point theorem for multivalued nonself mappings." Carpathian Journal of Mathematics 32, no. 2 (2016): 147–55. http://dx.doi.org/10.37193/cjm.2016.02.02.

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In the present paper, taking into account the recent developments on the theory of fixed point, we give some fixed point results for multivalued nonself mappings on complete metrically convex metric spaces. Our main result properly includes the famous Assad-Kirk fixed point theorem for nonself mappings. Also, we provide a nontrivial example which shows the motivation for such investigations of multivalued nonself contraction mappings.
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9

MA, TSOY-WO. "INVERSE MAPPING THEOREM ON COORDINATE SPACES." Bulletin of the London Mathematical Society 33, no. 4 (July 2001): 473–82. http://dx.doi.org/10.1017/s0024609301008050.

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A mean-value theorem, an inverse mapping theorem and an implicit mapping theorem are established here in a class of complex locally convex spaces, including the spaces of test functions in distribution theory. Our main tool is the integral formula and the invariance of the domain, derived from topological degrees, rather than from fixed points of contractions in Banach spaces.
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10

O'Regan, Donal. "Coincidence Principles and Fixed Point Theory for Mappings in Locally Convex Spaces." Rocky Mountain Journal of Mathematics 28, no. 4 (December 1998): 1407–45. http://dx.doi.org/10.1216/rmjm/1181071724.

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Dissertations / Theses on the topic "Mappings (Mathematics); Fixed point theory; Convex domains"

1

Eberhard, A. C. "Some results in the area of generalized convexity and fixed point theory of multi-valued mappings / Andrew C. Eberhard." 1985. http://hdl.handle.net/2440/20758.

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Author's `Characterization of subgradients: 1` (31 leaves) in pocket
Bibliography: leaves 229-231
231 leaves : 1 port ; 30 cm.
Title page, contents and abstract only. The complete thesis in print form is available from the University Library.
Thesis (Ph.D.)--University of Adelaide, 1986
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Eberhard, A. C. "Some results in the area of generalized convexity and fixed point theory of multi-valued mappings / Andrew C. Eberhard." Thesis, 1985. http://hdl.handle.net/2440/20758.

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Author's `Characterization of subgradients: 1` (31 leaves) in pocket
NOTE: Page 35 is missing from the print and digital copies of the thesis
Thesis (Ph.D.) -- University of Adelaide, Dept. of Mathematical Sciences, 1986
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