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Mathematica Moravica
2006, br. 10, str. 27-40
Fixed point theorems for two pairs of nonself mappings in metrically convex spaces by altering distances
(naslov ne postoji na srpskom)
Mohd Imdad, Ladlay Khan
Department of Mathematics, Aligarh Muslim University, India

e-adresa: mhimdad@yahoo.co.in, k_ladlay@yahoo.com
Ključne reči: Metrically convex metric space; weak commutativity; compatible mappings; coincidentally commuting mappings; complete metric spaces
Sažetak
(ne postoji na srpskom)
Some common fixed point theorems for two pairs of nonself mappings in complete metrically convex metric spaces are proved by altering distances between the points which generalize earlier results due to Khan et al. [15] Khan and Bharadwaj [14], Bianchini [5], Chatterjea [6] and others. Some related results are also discussed besides furnishing an illustrative example.
Reference

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Assad, N.A. (1988) On some nonself nonlinear contractions. Math. Japon, 33(1), 17-26

Assad, N.A. (1988) On some nonself mappings in Banach spaces. Math. Japon, 33(4), 501-515

1

Assad, N.A., Kirk, W.A. (1972) Fixed point theorems for set-valued mappings of contractive type. Pacific J. Math, 43(3), 553-562

Bianchini, R.M.T. (1972) Su un problema dis. Reich riguardante lateoria dei punti fissi. Boll. Un. Mat. Ital, 5, 103-108

6

Chatterjea, S.K. (1972) Fixed point theorems. C. R. Acad. Bulgare Sci, 25, 727-730

Delbosco, D. (1976-77) Un estensione di un teorema sul punto/ Fisso D. Reich. Rend. Sem. Mat. Univers. Politecn. Torino, 35, 323-329

Fisher, B. (1976) A fixed point mapping. Bull. Calcutta Math. Soc, 68, 265-266

1

Hadžić, O.L. (1989) On coincidence points in convex metric spaces. Zb. Rad. Univ u Novom Sadu Prirod.-Mat. Fak., Ser. Mat, 19(2), str. 233-240

Hadžić, O.L., Gajić, Lj. (1986) Coincidence points for set-valued mappings in convex metric spaces. u: Zb. Rad. Prirod. Mat. Fak. Ser. Mat, Univ. u Novom Sadu, 16(1), str. 13-25

Imdad, M., Kumar, S. (2003) Boyd and Wong type theorems for two pairs of non self mappings. Nonlinear Analysis Forum, 8(1), 69-78

22

Jungck, G. (1986) Compatible mappings and common fixed points. Internat. J. Math. Math. Sci., 9, 4, 771-779

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Jungck, G., Rhoades, B.E. (1998) Fixed points for set-valued functions without continuity. Indian J. Pure Appl. Math, 29(3), 227-238

Khan, M.D., Bharadwaj, R. (2001) A fixed point theorem in metrically convex space. Indian J. Math, 43(3), 373-379

2

Khan, M.S., Pathak, H.K., Khan, M.D. (2000) Some fixed point theorems in metrically convex spaces. Georgian Math. J., 7(3), 523-530

2

Khan, M.S., Swaleh, M., Sessa, S. (1984) Fixed point theorems by altering distances between two points. Bull. Austral. Math. Soc, 30, 1-9

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Pant, R.P. (1994) Common fixed points of noncommuting mappings. Journal of Mathematical Analysis and Applications, 188, 2, 436-440

Rakotch, E. (1962) A note on contractive mapping. Proc. Amer. Math. Soc, 13, 459-465

2

Reich, S. (1971) Kannan's fixed point theorem. Bull. U. M. I., 4, 1-11

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Sessa, S. (1982) On a weak commutativity condition of mappings in fixed point considerations. Publications de l'Institut mathematique, 32(46), 149-153

Skof, F. (1977) Teorema, di. punti. fisso/ Per. applicazioni negli spazi metrici. Atti Acad. Sci. Tornio, III, 323-329
   

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor0610040M
objavljen u SCIndeksu: 02.06.2007.

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