1,049 research outputs found
Common fixed points of Ciric-type contractions on partial metric spaces
No full textWe obtain a common fixed point theorem of Boyd-Wong type for four mappings satisfying a Ciric-type contraction on a complete partial metric space. Our result generalizes and unifies, among others, the very recent results of L. CIRIC, B. SAMET, H. AYDI and C. VETRO [Common fixed points of generalized contractions on partial metric spaces and an application, Appl. Math. Comput., 218 (2011), 2398-2406], S. ROMAGUERA [Fixed point theorems for generalized contractions on partial metric spaces, Topology Appl., 159 (2012), 194-199], T. ABDELJAWAD, E. KARAPINAR and K. TAS [Existence and uniqueness of a common fixed point on partial metric spaces, Appl. Math. Lett. 24 (2011), 1900-1904], and D. ILIC, V. PAVLOVIC and V. RAKOCEVIC [Some new extensions of Banach's contraction principle to partial metric space, Appl. Math. Lett. 24 (2011), 1326-1330].The third named author is supported by the Ministry of Science and Innovation of Spain, grant MTM2009-12872-C02-01.Abbas, M.; Altun, I.; Romaguera Bonilla, S. (2013). Common fixed points of Ciric-type contractions on partial metric spaces. Publicationes Mathematicae Debrecen. 82:425-438. https://doi.org/10.5486/PMD.2013.5342S4254388
Istratescu-Suzuki-Ciric-type fixed points results in the framework of G-metric spaces
No full textThe third author was supported in part by the Serbian Ministry of Science and Technological Develop-
ments (Project: Methods of Numerical and Nonlinear Analysis with Applications, grant number #174002).The aim of this paper is to present xed point results of convex contraction, convex contraction of order 2, weakly Zam rescu and Ciric strong almost contraction mappings in the framework of G-metric spaces. Some examples are presented to support the results proved herein. As an application, we derive Suzuki type xed point in G-metric spaces. Our results generalize and extend various results in the existing literature. We also present some examples to illustrate our new theoretical results.Http://www.tjnsa.comam2017Mathematics and Applied Mathematic
Ciric Type Nonunique Fixed Point Theorems on <i>b</I>-metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254; Alsulami, Hamed Hamdan/0000-0001-5188-2830;In this paper, inspired the very interesting results of Ciric [20], we investigate the existing non-unique fixed points of certain operators in the context of b-metric spaces. Our main results unify and cover several existing results on the topic in the literature.Ministry of Education, Science and Technological Development, Republic of Serbia [174025]The third author is supported by Grant No. 174025 of the Ministry of Education, Science and Technological Development, Republic of Serbia
Fixed Point Theorems for Generalized (α<sub>*</Sub> - Ψ)-Ciric Contractive Multivalued Operators in <i>b</I>-metric Spaces
No full textKARAPINAR, ERDAL/0000-0002-6798-3254In this paper we introduce the notion (alpha(*) - psi)- Ciric-type contractive multivalued operator and investigate the existence and uniqueness of fixed point for such a mapping in b-metric spaces. The well-posedness of the fixed point problem and the Ulam-Hyres stability is also studied. (C) 2016 All rights reserved.Romanian National Authority for Scientific Research, CNCS UEFISCDI [PN-II-ID-PCE-2011-3-0094]The first author is supported by a grant of the Romanian National Authority for Scientific Research, CNCS UEFISCDI, project number PN-II-ID-PCE-2011-3-0094
Diagrammatics, the field of convergence : spatial/architectural perspective
No full textThe author problematises the definition and broader acceptance of the term ‘diagrammatics’. She attempts to historically analyse and theoretically ground it, as well as to provide its precise meaning and scope regarding both historical references and modality she is using and conceptualising as a new one. Aside from interpretation and function of the term ‘diagrammatics’ that is independent of any disciplinary specification, the author also reflects upon the term's spatial and architectural perspective and designation, narrowing down research domain in order to inspect its application in spatial discourses. • • • While the first part of the lecture title implies the involvement of different research fields, and the second one announces a specific disciplinary view regarding diagrammatics, diagrammatic reasoning, and representation, the relationship between mathematics (geometry), architecture, imagination, and data is put forward in response to the workshop's call, offering an inquiry into and historical preview of the mathematical-architectural line of thought (microhistory), its contemporary stage of development, and future prospects, based on its inherent diagrammatic nature and character.(предавање по позиву) (осим на конференцијама)
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Invited Lecture (by Prof. Amirouche Moktefi, PhD)
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Event: Workshop: Mathematics and Imagination, Ragnar Nurkse Department of Innovation and Governance (School of Business and Governance) & Department of Cybernetics (School of Science), Tallinn University of Technology, Estonia, 28 August 2019; Location: TalTech. Akadeemia tee 3, Tallinn. Building SOC, 4th floor, room SOC-415 ; Organisers: Olga Graf (Department of Cybernetics, TalTech / Technical University of Munich) & Amirouche Moktefi (Ragnar Nurkse School of Innovation and Governance, TalTech) ; Support: School of Business and Governance, TalTech;
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Participants: Gerhard Heinzmann (University of Lorraine, Nancy, France), Leticia Vitral (Linnaeus University, Sweden), Dragana Ciric (Belgrade, Serbia), Yacin Hamami (Vrije Universiteit Brussel, Belgium), Kate Mccallum (University of Brighton, UK), Fabrice Pataut (University Panthéon-Sorbonne, Paris 1, France), Olga Graf (Tallinn University of Technology, Estonia), Natalia Nikiforova (Higher School of Economics, Moscow, Russia
Revisiting Ciric type nonunique fixed point theorems via interpolation
No full text[EN] In this paper, we aim to revisit some non-unique fixed point theorems
that were initiated by Ciric, first. We consider also some natural consequences of the obtained results. In addition, we provide a simple
example to illustrate the validity of the main result.Karapinar, E. (2021). Revisiting Ciric type nonunique fixed point theorems via interpolation. Applied General Topology. 22(2):483-496. https://doi.org/10.4995/agt.2021.16562OJS483496222J. Achari, On Ćirić's non-unique fixed points, Mat. Vesnik 13 (28), no. 3 (1976), 255-257.H. Afshari, H. Aydi and E. Karapinar, On generalized α-ψ-Geraghty contractions on b-metric spaces, Georgian Math. J. 27 (2020), 9-21. https://doi.org/10.1515/gmj-2017-0063H. Afshari, H. Aydi and E. Karapinar, Existence of fixed points of set-valued mappings in b-metric spaces, East Asian Mathematical Journal 32, no. 3 (2016), 319-332. https://doi.org/10.7858/eamj.2016.024R. P. Agarwal and E. Karapinar, Interpolative Rus-Reich-Ciric type contractions via simulation functions, An. St. Univ. Ovidius Constanta, Ser. Mat. 27, no. 3 (2019), 137-152. https://doi.org/10.2478/auom-2019-0038U. Aksoy, E. Karapinar and I. M. Erhan, Fixed points of generalized alpha-admissible contractions on b-metric spaces with an application to boundary value problems, Journal of Nonlinear and Convex Analysis 17, no. 6 (2016), 1095-1108.H. Alsulami, S. Gulyaz, E. Karapinar and I. Erhan, An Ulam stability result on quasi-b-metric-like spaces, Open Mathematics 14, no. 1 (2016), 1087-1103. https://doi.org/10.1515/math-2016-0097M. A. Alghamdi, S. Gulyaz-Ozyurt and E. Karapinar, A note on extended Z-contraction, Mathematics 8, no. 2 (2020), 195. https://doi.org/10.3390/math8020195H. Aydi, C.-M. Chen and E. Karapinar, Interpolative Ciric-Reich-Rus type contractions via the Branciari distance, Mathematics 7, no. 1 (2019), 84. https://doi.org/10.3390/math7010084H. Aydi, E. Karapinar and A. F. Roldán López de Hierro, ω-Interpolative Ćirić-Reich-Rus-type contractions, Mathematics 7 (2019), 57. https://doi.org/10.3390/math7010057H. Aydi, M. F. Bota, E. Karapinar and S. Moradi, A common fixed point for weak phi-contractions on b-metric spaces, Fixed Point Theory 13, no. 2 (2012), 337-346. https://doi.org/10.1186/1687-1812-2012-44H. Aydi, E. Karapinar, M. F. Bota and S. Mitrovic, A fixed point theorem for set-valued quasi-contractions in b-metric spaces, Fixed Point Theory Appl. 2012, 2012:88. https://doi.org/10.1186/1687-1812-2012-88V. Berinde, Contracţii Generalizate şi Aplicaţii , Vol. 2, Editura Cub Press, Baie Mare, Romania, 1997.V. Berinde, Sequences of operators and fixed points in quasimetric spaces, Mathematica 41, no. 4 (1996), 23-27.V. Berinde, Generalized contractions in quasi-metric spaces, Seminar on Fixed Point Theory, Babeş-Bolyai University, Research Sem., (1993), 3-9.C. Chifu, E. Karapinar and G. Petrusel, Fixed point results in ε-chainable complete b-metric spaces, Fixed Point Theory 21, no. 2 (2020), 453-464. https://doi.org/10.24193/fpt-ro.2020.2.32L. B. Ćirić, On some maps with a nonunique fixed point, Publ. Inst. Math. 17 (1974), 52-58.S. Czerwik, Contraction mappings in -metric spaces, Acta Math. et Inf. Uni. Ostraviensis 1 (1993), 5-11.A. Fulga, E. Karapinar and G. Petrusel, On hybrid contractions in the context of quasi-metric spaces, Mathematics 8 (2020), 675. https://doi.org/10.3390/math8050675Y. U. Gaba and E. Karapinar, A new approach to the interpolative contractions, Axioms 2019, 8, 110. https://doi.org/10.3390/axioms8040110S. Gulyaz-Ozyurt, On some alpha-admissible contraction mappings on Branciari b-metric spaces, Advances in the Theory of Nonlinear Analysis and its Applications 1 (2017), 1-13. https://doi.org/10.31197/atnaa.318445S. Gupta and B. Ram, Non-unique fixed point theorems of Ćirić type, (Hindi) Vijnana Parishad Anusandhan Patrika 41, no. 4 (1998), 217-231.R. Kannan, Some results on fixed points, Bull. Calcutta Math. Soc. 60 (1968), 71-76. https://doi.org/10.2307/2316437E. Karapinar, A new non-unique fixed point theorem, J. Appl. Funct. Anal. 7, no. 1-2 (2012), 92-97. https://doi.org/10.1186/1687-1812-2012-194E. Karapinar, Some nonunique fixed point theorems of Ćirić type on cone metric spaces, Abstr. Appl. Anal. 2010 (2010), Article ID 123094. https://doi.org/10.1155/2010/123094E. Karapinar, Ciric type nonunique fixed points results: a review, Applied and Computational Mathematics an International Journal 1 (2019), 3-21.E. Karapinar, O. Alqahtani and H. Aydi, On interpolative Hardy-Rogers type contractions, Symmetry 11, no. 1 (2019), 8. https://doi.org/10.3390/sym11010008E. Karapinar, Revisiting the Kannan type contractions via interpolation, Adv. Theory Nonlinear Anal. Appl. 2, no. 2 (2018), 85-87. https://doi.org/10.31197/atnaa.431135E. Karapinar, H. Aydi and Z. D. Mitrovic, On interpolative Boyd-Wong and Matkowski type contractions, TWMS J. Pure Appl. Math. 11, no. 2 (2020), 204-212.E. Karapinar, R. Agarwal and H. Aydi, Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics 6, no. 11 (2018), 256. https://doi.org/10.3390/math6110256E. Karapinar, A. Fulga and A. Petrusel, On Istratescu type contractions in -metric spaces, Mathematics 8, no. 3 (2020), 388. https://doi.org/10.3390/math8030388E. Karapinar, A short survey on the recent fixed point results on -metric spaces, Constructive Mathematical Analysis 1, no. 1 (2018), 15-44. https://doi.org/10.33205/cma.453034E. Karapinar and C. Chifu, Results in wt-distance over -metric spaces, Mathematics 8, no. 2 (2020), 220. https://doi.org/10.3390/math8020220E. Karapinar and A. Fulga, Fixed point on convex -metric space via admissible mappings, TWMS JPAM 12, no. 2 (2021). https://doi.org/10.1155/2021/5538833E. Karapinar, Interpolative Kannan-Meir-Keeler type contraction, Adv. Theory Nonlinear Anal. 5, no. 4 (2021), 611-614. https://doi.org/10.31197/atnaa.989389Z. Liu, Z. Guo, S. M. Kang and S. K. Lee, On Ćirić type mappings with nonunique fixed and periodic points, Int. J. Pure Appl. Math. 26, no. 3 (2006), 399-408.Z. Q. Liu, On Ćirić type mappings with a nonunique coincidence points, Mathematica (Cluj) 35(58), no. 2 (1993), 221-225.B. G. Pachpatte, On Ćirić type maps with a nonunique fixed point, Indian J. Pure Appl. Math. 10, no. 8 (1979), 1039-1043.I. A. Rus, Generalized Contractions and Applications, Cluj University Press, Cluj-Napoca, Romania, 2001
Influence of the build orientation on the fatigue strength of EOS maraging steel produced by additive metal machine
No full textThis paper presents a research dealing with the dependence of the fatigue strength of maraging steel parts, manufactured by direct selective laser sintering, on the production build orientation. Three sets of specimens have been manufactured according to the ISO 1143 Standard (2010) by EOSINT M280 additive manufacturing machine, with the following heat and mechanical treatments, in agreement with the recommendations by the material manufacturer and current literature. The expected outcomes are the Fatigue Limit values of the material and the maximum number of cycles observed at different stress levels for three different build orientations (three different angles, 0°, 45° and 90°, between the build direction and the longitudinal axis of the samples). The results have been processed and compared by statistical methods in order to determine the fatigue curves in the finite life domain and the fatigue limits, along with their confidence bands and intervals, and to investigate the significance of the build orientation factor
Comment to: Variations on the standard transsphenoidal approach to the sellar region, with emphasis on the extended approaches and parasellar approaches: Surgical experience in 105 cases.
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