You are here

Properties of Weakly Precontinuous Multifunctions

Journal Name:

Publication Year:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
In [15], the authors defined a multifunction /•' : X --- Y to be weakly precontinuous if for each point .r t -V and any open sets (1 {,(!•> of Y such that F(.t) c d'i and /•'(.'') n (!<> 7^ 0. there exists a prcopen set U of X containing .r such that /•'((/) C Cl(Cr'i) and /<*(») ft OlfCS) / 0 for every u e-_ //. In this paper, we obtain further characterizations and several properties concerning weakly precontinuous multifunctions.
41-52

REFERENCES

References: 

[1] D. Andrijevic, Semi-preopen sets. Mat. Vesnik 38 (1986), 24 32.
T. Ban/anı. Mull if unci ions anıl M -product spaces (Roma.nic), Bul. St. Telin. Inst. Pohlohn. " Train ıı. Vtua". Tinıişoara, Ser. Mat. Fi/.. Mec. Teor. Appl. 17(31) (1972), 17 23.
S. G. Crossley and S. K. Hildohrnnd, S rint-closure. Texas T Sei. 22 (1971), 99- 112.
X. El-Deep, 1. A. llasaııeiu, A. S. Mashhoiır and T. Noiri, On p-regular spaces, Bull. Mallı. Sue-. Sei. H. S. Roıuuauio 27(75} (1983). 311 315.
S. Jafari and T. Noiri, C)u alınosf weakly continuous functions, Denıonstratio Math. 31 (1998). 137 113.
1). S. .Jaııkovic. 0-regular spaces, lntemat. .1. Math. Math. Sei. 8 (1985), 615 619.
1. Kovncovic. Subsets and puracoınpactness, Univ. u Novom Sadu, Zl). Rad. Prirod. Mal. Fae. Ser. Mat. 14 (1984), 137 141.
1. Kovncovie, .4 note on subsets and alnıosl closed, mappings. Univ. u Novom Sadu, Zh. Had. Prirod. Mal. Fae. Ser. Mat. 17 (1987), 79 87.
[9] X.
Leviue
, Semi-open sets and s em i-continuity vu topological spaces. Amer. Math. Monthly 70 (1963), 36 41.
10] A. S. Maslılıour, M. E. Ahd El-Mousef and S. N.
El-Deep
, On pre continuous and weak prceontenuous map/rings. Proe. Math. Phys. Soc. Egypt 53 (1982), 47 53.
A. S. Maslılıour.
I
. A. Hasanein and S. N. Eh Deep.. .4 note on semi-continuity and pncontiuauity. Indian ,1. Pure Appl. Math. 13 (1982), 1119 1123.
12] ().
Njastad
, On some classes of nearly open sets. Pacific .1. Math. 15 (1965), 961 -970.
T. Noiri. Properties of some weak forms of continnity. Internal,. .1. Math. Math. Sei. 10 (1987). 97 111.
14]
T
. Noiri and V. Popa, Almost weakly continuous riutltifunct-tims, Denıonstratio Math. 26 (1993). 363 380.
15]
T
. Noiri and V. Popa, Almost preeontrnuous midlifunctions. Res. Rep. Yatsushjfo Nat. Coll. Tech. 20 (1998), 97 104.
16]
R
Paul and P. Bhat tacharyya, Qiiasi-preeon.Uiiuirtis functions, J. Indian Acad. Math. 14 (L992), 115 126.
47)
K
. Paul and P. Bhat tacharyya, Properti.es of quasi-precontinuous functions. Indian .J. Pure Appl. Math. 27 (1996), 475 486.
[18]
V
. Popa, Weakly continuous multifunctions. Boll. Un. Mat. Ital. (5) 15-A (1978), 379 388.
[in] V. Popa. Some ¡rrnpcrtt.es of ll-ulmoxt eonl inttous mult (functions. Prohlomy Mat. JO (1988), 9 20.
[20] V. Pupa, On almost quasi continuous functions. I. P. G. Ploiesti. Lucr. St. Mat. Fix. 1990, 64 70.
[21] V. Popa and T. Noiri, Almost weakly continuous functions. Demonstrat io Mai ii. 25 (1992), 241 251.
[22] V. Popa and T. Noiri. Cli.uracterizations of (\-continuous mult if unctions. I'niv. u Novum Sadu, Zb. Had. Prirod. Mat. Fac. Sor. Mat. 23 (1993), 29 38.
[23] V. Popa. and T. Noiri, On -upper and lower almost quasi continuous muU if unctions. Bull. Inst. Math. Acad. Sinica 21 (1993), 337 349.
[24] V. Popa. and T. Noiri, Some properties of J-continuous ntult if) Mictions, Anal. St. Univ. ''Ah I. Ctr/a\ Iasi. 42. Supl. s. a. Mat, (1990), 207 215.
[25] V. Popa. and T. Noiri, A note on preeontinuity and quuMcoiitiiiu/ttyforinultifuiiclioiis. Domousfratio Math. 30 (1997). 271 278.
[2(ij M. Przemski, Some ycncruhzu.tions of continuity and quasicoiitinu.ity of multivalued-maps. Demonstrate Math. 20 (1993), 381 400.
[27] N. V. Velicko, H-closed topological spaces. Amor. Math. Soc. Transl. (2) 78 (1908), 103 119.
[28] .1. D. Wine, Locally paracompuct spaces. Glasnik Mat. 10(30) (1975). 351 357.

Thank you for copying data from http://www.arastirmax.com