On δ-β-continuous functions

Chaos, Solitons and Fractals

Volumn 42, Issue 1, 2009, Pages 205-211

  Hatir, E ^a   Noiri, T ^b  

^a SELCUK UNIVERSITY   (Turkey)

^b NONE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION;

COMPLETE CONTINUITY; CONTINUOUS FUNCTIONS; HUNGARY; RELATED FUNCTIONS;

DELTA FUNCTIONS;

EID: 67649631483     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.11.008     Document Type: Article

References (41)

1. Abd El-Monsef M.E., El-Deeb S.N., and Mahmoud R.A. β-open sets and β-continuous mapping. Bull Fac Sci Assiut Univ 12 (1983) 77-90
2. Caldas M., Jafari S., Noiri T., and Simoes M. A new generalization of contra-continuity via Levine's g-closed sets. Chaos Solitons & Fractals 32 (2007) 1597-1603
3. Dugundji J., and Arens R. Topologies for function spaces. Pacific J Math 1 (1951) 5-31
4. ∞ topology and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 (2004) 689-697
5. El-Naschie M.S. The symplictic vacuum, exotic quasi-particles and gravitational instantion. Chaos, Solitons & Fractals 22 (2004) 1-11
6. El-Naschie M.S. Quantum gravity clifford algebra, fuzzy set theory and the fundamental constants of nature. Chaos, Solitons & Fractals 20 (2004) 437-450
7. El-Naschie M.S. Quantum gravity from descriptive set theory. Chaos Solitons & Fractals 19 (2004) 1339-1344
8. El-Naschie M.S. A review of E-infinity theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 (2004) 209-236
9. El-Naschie M.S. Superstrings, knots and noncommutative geometry in space. Int J Theor Phys 37 12 (1998) 2935-2951
10. El-Naschie M.S. Topics in the mathematical physics of E-infinity theory. Chaos, Solitons & Fractals 30 (2006) 656-663
11. El-Naschie M.S. Fredholm operators and the wave-particle duality in Cantorian space. Chaos, Solitons & Fractals 9 6 (1998) 975-978
12. El-Naschie M.S. A few hints and some theorems about Witten's M-theory and T-duality. Chaos, Solitons & Fractals 25 3 (2005) 545-548
13. El-Naschie M.S. On fuzzy Kahler-like manifold which consistent with the two slit experiment. Int J Nonlinear Sci Numer Simul 6 2 (2005) 95-98
14. El-Naschie M.S. Complex vacuum fluctuation an a chaotic limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organization. Chaos, Solitons & Fractals 17 4 (2003) 631-638
15. El-Naschie M.S. On a class of general theories for high energy particle physics. Chaos, Solitons & Fractals 14 4 (2002) 649-668
16. Ekici E. Generalization of weakly clopen and strongly θ-b-continuous functions. Chaos Solitons & Fractals 38 1 (2008) 79-88
17. Frink O. Topology in lattices. Trans Amer Math Soc 51 (1942) 569-582
18. Hatir E., and Noiri T. Decompositions of continuity and complete continuity. Acta Math Hungary 113 4 (2006) 281-287
19. Kelley J.L. General topology (1955), Springer, Berlin, Heidelberg, New York
20. Kong T.Y., Kopperman R., and Meyer P.R. Approvech to digital topology. Am Math Mon 98 (1991) 901-917
21. Kovalevsky E., and Kopperman R. Some topology-based image processing algorithms. Ann NY Acad Sci 728 (1994) 174-182
22. Khalimsky E.D., Kopperman R., and Meyer P.R. computer graphics and connected topologies in finite ordered sets. Topol Appl 36 (1990) 1-17
23. Levine N. Semiopen sets and semi-continuity in topological spaces. Am Math Mon 70 (1963) 36-41
24. Kocer E.G., Tuglu N., and Stakhov A. On the m-extension of the Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 40 4 (2009) 1890-1906
25. Mashhour A.S., Abd El-Monsef M.E., and El-Deeb S.N. On precontinuous and weak precontinuous mappings. Proc Math Phys Soc Egypt 53 (1982) 47-53
26. Moore ELF, Peters TJ. Computational topology for geometric design and molecular design. In: Ferguson DR, Peters TJ, editors. Mathematics in industry-challenges and frontiers. SIAM; 2005.
27. Mauldin R.D., and Williams S.C. Random recursive construction. Trans Am Math Soc 295 (1986) 325-346
28. Noiri T. Remarks on δ-semiopen sets and δ-preopen sets. Demonstratio Math 36 (2003) 1007-1020
29. Noiri T., and Popa V. Faintly m-continuous functions. Chaos Solitons & Fractals 19 (2004) 1147-1159
30. Park J.H., Lee Y., and Son M.J. On δ-semiopen sets in topological space. J Indian Acad Math 19 (1997) 59-67
31. Pawlak Z. Rough sets, theoretical aspects of reasoning about data. System theory, knowledge engineering and problem solving vol. 9 (1991), Springer, Berlin
32. Raychaudhurim S., and Mukherjee M.N. On δ-almost continuity and δ-preopen sets. Bull Inst Math Acad Sinica 21 4 (1993)
33. Rosen D.W., and Peters T.J. The role of topology in engineering design research. Res Eng Des 2 (1996) 81-98
34. Svozil K. Quantum field theory on fractals space-time, a new regularization method. J Phys A Math Gen 20 (1987) 3861-3875
35. Stakhov A., and Rozin B. On a new class of hyperbolic function. Chaos Solitons & Fractals 23 2 (2005) 379-389
36. Stakhov A., and Rozin B. The golden shofar. Chaos Solitons & Fractals 26 3 (2005) 667-684
37. Stakhov A., and Rozin B. Theory of binet formulas for Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 27 5 (2005) 1162-1177
38. Stakhov A., and Rozin B. The "Golden" algebraic equations. Chaos, Solitons & Fractals 27 5 (2005) 1415-1421
39. Stakhov A., and Rozinm B. The continuous functions for the Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 28 (2006) 1014-1025
40. Veličko N.V. H-closed topological spaces. Am Math Soc Transl 2 78 (1968) 103-118
41. Witten E. Reflections on the fate of spacetime. Phys Today (1996) 24-30