Generalization of weakly clopen and strongly θ-b-continuous functions

Chaos, Solitons and Fractals

Volumn 38, Issue 1, 2008, Pages 79-88

  Ekici, Erdal ^a  

^a ÇANAKKALE ONSEKIZ MART UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FRACTALS; FUNCTION EVALUATION; NUMERICAL METHODS;

CONTINUOUS FUNCTIONS; WEAKLY CLOPEN FUNCTIONS;

SOLITONS;

EID: 41849138947     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.01.012     Document Type: Article

References (51)

1. Abd El-Monsef M.E., and Nasef A.A. On multifunctions. Chaos, Solitons & Fractals 12 (2001) 2387-2394
2. Andrijevic D. On b-open sets. Mat Vesnik 48 (1996) 59-64
3. Caldas M., Jafari S., Noiri T., and Saraf R.K. Weak and strong forms of α-irresolute maps. Chaos, Solitons & Fractals 24 (2005) 223-228
4. 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
5. Dontchev J., Ganster M., and Reilly I.L. More on almost s-continuity. Indian J Math 41 (1999) 139-146
6. Ekici E. Generalization of perfectly continuous, regular set-connected and clopen functions. Acta Math Hungar 107 (2005) 193-206
7. Ekici E. On separated sets and connected spaces. Demonstrat Math XL 1 (2007) 209-217
8. Ekici E. On almost π gp-continuous functions. Chaos, Solitons & Fractals 32 5 (2007) 1935-1944
9. El-Naschie M.S. On the topological ground state of E-infinity spacetime and the super string connection. Chaos, Solitons & Fractals 32 (2007) 468-470
10. El-Naschie M.S. SU(5) grand unification in a transfinite form. Chaos, Solitons & Fractals 32 2 (2007) 370-374
11. El-Naschie M.S. Quantum gravity Clifford algebra, fuzzy set theory and the fundamental constants of nature. Chaos, Solitons & Fractals 20 (2004) 437-450
12. El-Naschie M.S. Probability set particles. Int J Nonlinear Sci Numer Simulat 8 1 (2007) 117-119
13. El-Naschie M.S. Elementary prerequisites for E-infinity (Recommended background readings in nonlinear dynamics, geometry and topology). Chaos, Solitons & Fractals 30 (2006) 579-605
14. El-Naschie M.S. Topics in the mathematical physics of E-infinity theory. Chaos, Solitons & Fractals 30 (2006) 656-663
15. El-Naschie M.S. Superstrings, knots and noncommutative geometry in space. Int J Th Phys 37 12 (1998) 2935-2951
16. El-Naschie M.S. Fredholm operators and the wave-particle duality in Cantorian space. Chaos, Solitons & Fractals 9 6 (1998) 975-978
17. 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
18. 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
19. 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
20. El-Naschie M.S. On a class of general theories for high energy particle physics. Chaos, Solitons & Fractals 14 4 (2002) 649-668
21. Hoggat V.E. Fibonacci and Lucas numbers (1969), Houghton-Mifflin, Palo Alto, CA
22. Isbell J.R. Uniform spaces. Am Math Soc Math Surveys 12 (1962)
23. Jafari S., and Noiri T. On strongly θ-semi-continuous functions. Indian J Pure Appl Math 29 (1998) 1121-1195
24. Levine N. A decomposition of continuity in topological spaces. Am Math Mon 68 (1961) 44-46
25. Levine N. Semi-open sets and semi-continuity in topological spaces. Am Math Monthly 70 (1963) 36-41
26. 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
27. Mauldin R.D., and Williams S.C. Random recursive construction. Trans Am Math Soc 295 (1986) 325-346
28. Nasef A.A. On b-locally closed sets and related topic. Chaos, Solitons & Fractals 12 (2001) 1909-1915
29. Njastad O. On some classes of nearly open sets. Pacific J Math 15 (1965) 961-970
30. Noiri T. Between continuity and weak-continuity. Boll Unione Mat Ital 9 4 (1974) 647-654
31. Noiri T. On δ-continuous functions. J Korean Math Soc 16 (1980) 161-166
32. Noiri T. Super continuity and some strong forms of continuity. Indian J Pure Appl Math 15 (1984) 241-250
33. Noiri T. Weakly α-continuous functions. Int J Math Math Sci 10 3 (1987) 483-490
34. Noiri T. Strongly θ-precontinuous functions. Acta Math Hungar 90 (2001) 307-316
35. Noiri T., and Popa V. Faintly m-continuous functions. Chaos, Solitons & Fractals 19 (2004) 1147-1159
36. Park J.H., and Park J.K. On πgp-continuous functions in topological spaces. Chaos, Solitons & Fractals 20 (2004) 467-477
37. Park J.H., Bae S.W., and Park Y.B. Almost strongly θ-precontinuous functions. Chaos, Solitons & Fractals 28 (2006) 32-41
38. Park J.H. Strongly θ-b-continuous functions. Acta Math Hungar 110 4 (2006) 347-359
39. Porter J., and Thomas J. On H-closed and minimal Hausdorff spaces. Trans Am Math Soc 118 (1974) 159-170
40. Reilly I.L., and Vamanamurthy M.K. On super-continuous mappings. Indian J Pure Appl Math 14 (1983) 767-772
41. Son M.J., Park J.H., and Lim K.M. Weakly clopen functions. Chaos, Solitons & Fractals 33 (2007) 1746-1755
42. Stakhov A., and Rozin B. On a new class of hyperbolic function. Chaos, Solitons & Fractals 23 2 (2005) 379-389
43. Stakhov A., and Rozin B. The golden Shofar. Chaos, Solitons & Fractals 26 3 (2005) 677-684
44. Stakhov A., and Rozin B. Theory of binet formulas for Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 27 5 (2005) 1162-1177
45. Stakhov A., and Rozin B. The golden algebraic equations. Chaos, Solitons & Fractals 27 5 (2005) 1415-1421
46. Stakhov A., and Rozin B. The continuous functions for the Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 28 (2006) 1014-1025
47. Stone M.H. Applications of the theory of Boolean rings to general topology. TAMS 41 (1937) 375-381
48. Svozil K. Quantum field theory on fractal space-time, a new regularization method. J Phys A Math Gen 20 (1987) 3861-3875
49. Vajda S. Fibonacci and Lucas numbers and the golden section, theory and applications, Ellis Horwood Limited; 1989.
50. Velicko N.V. H-closed topological spaces. Am Math Soc Transl 78 (1968) 102-118
51. Witten E. Reflections on the fate of spacetime. Phys Today (1996) 24-30