... An introduction to 2-fuzzy n-normed linear spaces andanewperspective to the Mazur–Ulam problem Choonkil Park1 and Cihangir Alaca∗2 Department of Mathematics, Research Institute for Natural ... Misiak [3], a Kim and Cho [4], and Malˇeski [5] developed the theory of n-normed c space In [6], Gunawan and Mashadi gave a simple way to derive an (n−1)-norm from the n-norms and realized that any ... Bag and Samanta [8] and also gave some fundamental properties of this space In 1932, Mazur and Ulam [11] proved the following theorem Mazur–Ulam Theorem Every isometry of a real normed linear...
... Administrative Oversight of Life and Physical Sciences Research, 18 RESEARCH ON THE INTERNATIONAL SPACE STATION Plant and Microbial Research, 20 Behavior and Mental Health Research, 22 Human and Animal ... biomedical research approaches and clinical technologies for use on Earth and in space; and (4) research in Earth- and spacebased facilities that could improve human health on Earth and in space ... that relate to: ISS as a platform for conducting life and physical sciences research, and Programmatic support of a healthy and sustainable life and physical sciences research program at NASA...
... in Banach spaces,” Journal of Computational and Applied Mathematics, vol 225, no 1, pp 20–30, 2009 15 A Tada and W Takahashi, “Weak and strong convergence theorems for a nonexpansive mapping and ... theorems for a countable family of quasiLipschitzian mappings and its applications,” Journal of Mathematical Analysis and Applications, vol 356, no 1, pp 154–167, 2009 11 W Nilsrakoo and S Saejung, ... Point Theory and Applications Using this functional, Matsushita and Takahashi 2, studied and investigated the following mappings in Banach spaces A mapping S : C → E is relatively nonexpansive if...
... problem and variational inequality problem,” Fixed Point Theory and Applications, vol 2010, Article ID 383740, 19 pages, 2010 11 P Cholamjiak and S Suantai, Anew hybrid algorithm for variational ... spaces,” Journal of Mathematical Analysis and Applications, vol 341, no 1, pp 276–286, 2008 23 S Takahashi and W Takahashi, “Strong convergence theorem for a generalized equilibrium problem and ... Theory and Applications T Jitpeera and P Kumam, “An extra gradient type method for a system of equilibrium problems, variational inequality problems and fixed points of finitely many nonexpansive mappings,”...
... International Conference of Numerical Analysis and Applied Mathematics (ICNAAM ’10), AIP, Rhodes, Greece, March 2010 L Carlitz, “q-Bernoulli numbers and polynomials,” Duke Mathematical Journal, ... polynomials,” in ¸ ¨ Proceedings of the 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM ’10), AIP, Rhodes, Greece, March 2010 M Acıkgoz and Y Simsek, Anew generating ... numbers,” Journal of Mathematical Analysis and Applications, vol 326, no 2, pp 1458–1465, 2007 14 T Kim, J Choi, and Y.-H Kim, “q-Bernstein polynomials associated with q-Stirling numbers and Carlitz’s...
... Step Calculate rb , Qb in (17) and replace a0 by ak Then go to Step EURASIP Journal on Advances in Signal Processing and the respective inner iterations are three and two in the first and second ... using aa fractional delay filters, Doctoral thesis, Helsinki University of Technology, Espoo, Finland, 1995 [15] M Makundi, T I Laakso, and V V¨ lim¨ ki, “Efficient tunable aa IIR and allpass filter ... 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method,” IEEE Transactions on Circuits and Systems I, vol 49, no 10, pp 1413–1422, 2002 a [19] J Yli-Kaakinen and...
... UK, 1934 B C Yang, “On a more accurate Hardy-Hilbert-type inequality and its applications,” Acta Mathematica Sinica, vol 49, no 2, pp 363–368, 2006 Chinese B Yang, “On a more accurate Hilbert’s ... 2 Journal of Inequalities and Applications where the constant factors π and π are the best possible also Expression 1.2 is called a more accurate form of 1.1 Some more accurate inequalities ... inequality,” International Mathematical Forum, vol 2, no 37–40, pp 1831–1837, 2007 W Zhong, A Hilbert-type linear operator with the norm and its applications,” Journal of Inequalities and Applications,...
... Cheung, and D Zhao, “Gronwall-Bellman-type integral inequalities and applications to BVPs,” Journal of Inequalities and Applications, vol 2009, Article ID 258569, 15 pages, 2009 Q.-H Ma and E.-H Yang, ... of Applied Mathematics of Hechi University of China 200725 References R P Agarwal, S Deng, and W Zhang, “Generalization of a retarded Gronwall-like inequality and its applications,” Applied Mathematics ... Mathematics and Computation, vol 165, no 3, pp 599–612, 2005 R P Agarwal, Y.-H Kim, and S K Sen, New retarded integral inequalities with applications,” Journal of Inequalities and Applications,...
... Banach spaces,” Journal of Computational and Applied Mathematics, vol 225, no 1, pp 20–30, 2009 D Kinderlehrer and G Stampacchia, An Introduction to Variational Inequalities and Their Applications, ... problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 331, no 1, pp 506–515, 2007 P L Combettes and S A Hirstoaga, “Equilibrium programming ... nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), D Butnariu, Y Censor, and S Reich, Eds., vol of Stud Comput Math.,...
... in Mathematics, the Thailand Research Fund, and the Graduate School of Chiang Mai University for financial support References W R Mann, “Mean value methods in iteration,” Proceedings of the American ... the American Mathematical Society, vol 4, pp 506–510, 1953 S Reich, “Weak convergence theorems for nonexpansive mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, vol ... mappings and applications,” Indian Journal of Mathematics, vol 41, no 3, pp 435–453, 1999 W Takahashi and K Shimoji, “Convergence theorems for nonexpansive mappings and feasibility problems,” Mathematical...
... Dharani Babu Shanmugam and Haricharan Padmanabana Computer Programmers assisted with program and code implementation Kara Scott for her help with the evaluation of the algorithm, compilation, and ... compact scattered data Unfortunately, not all data are compact and scattered; hence, an improved algorithm is required to evaluate very large data sets This declaration comes 30 years after that ... evaluate mean square error for processed data; and (3) train the data We compared the FES-k-means method with the standard k-means and with MacQueens kmeans methods MacQueen’s k-means method, as...
... Signal-to-Noise Ratio, Mean Square Error, Mean Structure Similarity Index, and Image Enhancement Factor and Computational time Both visual and quantitative results EURASIP Journal on Advances in Signal Processing ... and μx are mean intensities of original and restored images, σr and σx are standard deviations of original and restored images, r p and x p are the image contents of pth local window, and G is the ... distributed salt and pepper noise at different densities for evaluating the performance of the algorithm Three images are selected They are Lena, Cameraman, and Boat image A quantitative comparison...
... increases, the hardware complexity of a transform as well as the compression latency also increases Another approach is a spatial domain FMC that requires a relatively small amount of computation ... memory bandwidth that depends on the frame size and search range The frame rate is 30 frames per second and all frames are encoded as P-frame The bar graphs given in Figure 17 show the required bandwidth ... USA, March 2001 [27] J.-C Tuan, T.-S Chang, and C.-W Jen, “On the data reuse and memory bandwidth analysis for full-search block-matching VLSI architecture,” IEEE Transactions on Circuits and...
... 125–135, 1997 E Prados, F Camilli, and O Faugeras, A unifying and rigorous shape from shading method adapted to realistic data and applications,” Journal of Mathematical Imaging and Vision, vol ... conservation can continue and no changes are made that are irreversible If the results from a digital approach are not acceptable, the more challenging and expensive physical approach can still be applied ... International Conference on Computer Graphics and Interactive Techniques in Australasia and Southeast Asia (GRAPHITE ’05), pp 135–138, ACM, Dunedin, New Zealand, November-December 2005 Y M Govaerts,...
... it achieves the capacity of new forms of degraded multirelay networks In [14], a generalization of partial decoding scheme was applied to multiple-relay networks andanew achievable rate was ... introduce a class of orthogonal relay networks that is a generalization of orthogonal relay channel [5] First, we define orthogonal relay channel A relay channel with orthogonal components is a relay ... theorems and corollaries about generalized block Markov encoding scheme or partial decoding method are reviewed In Section 4, we introduce sequential partial decoding and drive anew achievable rate...
... Differential and Integral Inequalities, Springer, New York, NY, USA, 1970 V Lakshmikantham and S Leela, Differential and Integral Inequalities: Theory and Applications Vol I: Ordinary Differential Equations, ... Mathematics in Science and Engineering, Academic Press, New York, NY, USA, 1969 V Lakshmikantham and S Leela, Differential and Integral Inequalities: Theory and Applications Vol II: Functional, ... 2805–2816, 2006 D Y Xu and Z Yang, “Attracting and invariant sets for a class of impulsive functional differential equations,” Journal of Mathematical Analysis and Applications, vol 329, no 2,...
... variational inequality: f − I q, p − q ≤ ∀p ∈ Ω 3.31 Taking A I, γ and f ≡ u ∈ C is a constant in Theorem 3.1, we get the results of Iiduka and Takahashi Journal of Inequalities and Applications ... mappings in Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 318, no 1, pp 43–52, 2006 H Iiduka and W Takahashi, “Strong convergence theorems for nonexpansive mappings and ... approximation methods for nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 298, no 1, pp 279–291, 2004 G Marino and H K Xu, A general iterative method for nonexpansive...
... Takahashi, Nonlinear Functional Analysis, Yokohama, Yokohama, Japan, 2000 47 S Atsushiba and W Takahashi, “Strong convergence theorems for a finite family of nonexpansive mappings and applications,” ... Journal of Mathematical Analysis and Applications, vol 279, no 2, pp 372– 379, 2003 G Bigi, M Castellani, and G Kassay, A dual view of equilibrium problems,” Journal of Mathematical Analysis and ... Banach spaces,” Journal of Mathematical Analysis and Applications, vol 67, no 2, pp 274–276, 1979 K Nakajo and W Takahashi, “Strong convergence theorems for nonexpansive mappings and nonexpansive...
... residual data set the ML-PDA algorithm is applied and the resulting track estimate validated If anew target is validated, its associated measurements are also edited out to form anew residual data ... incorporates all phases of the tracking problem: track initiation, track maintenance/update, and track termination functions and uses the ML-PDA and JMLPDA algorithms for track update Figure shows a ... frames of data, track estimates separated by fewer than Nw frames are correlated in that they use common data frame(s) EURASIP Journal on Advances in Signal Processing Table 3: Scenario parameters...
... [3] G Varile andA Zampolli, Survey of the State of the Art in Human Language Technology, chapter 10.2: Transmission and Storage (B S Atal and N S Jayant), Cambridge University Press, Cambridge, ... Systems Research, College Park, Md, USA, April 1996 [14] G Strang, Linear Algebra and Its Applications, Academic Press, New York, NY, USA, 1980 ¨ u [15] U G¨ z, Anew approach in the determination ... S Yarman, H G¨ rkan, U G¨ z, and B Ayg¨ n, Anew modu u eling method of the ECG signals based on the use of an optimized predefined functional database,” Acta Cardiologica - An International...