Amazing porn model Belle Delphine nudes on sexe-libre.org. Watch free video collection of Belle Delphine nede leaked
Rare Muslim porn and سكس on sexsaoy.com. Tons of Arab porn clips.
XNXX and Xvideos porn clips free on xnxxarabsex.com. Best XnXX porn tube channels, categorized sex videos, homemade and amateur porn.
Exlusive russian porn russiainporn.com. Get uniqe porn clips from Russia
Find out on sexjk.com best collection of Arabain and Hijab سكس
|Dipankar Das1, NilakshiGoswami2
|Related article at Pubmed, Scholar Google|
Visit for more related articles at International Journal of Innovative Research in Science, Engineering and Technology
In this paper, we derive some fixed point theorems in the projective tensor product ) of two Banach spaces X and Y. Using two mappings and , we construct a self-mapping T on . Taking and as different contractive type mappings, we study the characteristics of the mapping T and the existence and the uniqueness of the fixed point of T in the closed unit ball of . The converse of this result is also discussed here.
|projective tensor product, contractive type mappings, asymptotically regular property|
II. MAIN RESULTS
|The following Lemma plays an important role in proving our main results.|
|[1 ]Ya.I. Alber, S. Guerre-Delabriere, “Principles of weakly contractive maps inHilbertspaces,” Operator Theory Advances and Appl., vol.98, pp. 7– 22, 1997 BirkhäuserVerlag Basel/Switzerland.
 S. Banach, “Sur Les operations Dans Les Ensembles Abstraits Et Leur Application Aux Equations Untegrales, ”Fund. Math., vol.3 , pp.,133-181,1922.
 D. Boyd and J. Wong, “On non-linear Contractions”, Proc. Amer. Math. Soc. vol.20 , pp. ,456-464,1969
 F.E. Browder, and W.V. Petrysyn. “The Solution by Iteration of Nonlinear Functional Equation in Banach Spaces,” Bull. Amer. Math. Soc. vol.72, pp ,571-576,1966
 S. K. Chatterjea, “Fixed Point Theorems,” C. R. Acad. Bulgare Sci., vol.25 , pp.727-730, 1972
 Lj.B. ÄiriÄ, “A Generalization of Banach’s Contraction Principle,” Proc. Amer. Math. Soc.vol.45 , pp.267-273 1947,
 R. Kannan, “Some Results on Fixed Points” Bull. Cal. Math. Soc.,vol.60 , pp.71-76,1968 .
 M. Saha, D. Dey, “Fixed Point of Expansive Mapping in a Banach Space,” International J. of Math. Sci. and Engg.Appls., vol.4 , no. , pp. 355-362,2010 .
 M. Saha, D. Dey. and A. Ganguly, “A Generalization of Fixed Point Theorems in a 2-metric Space”, General Mathematics, Romania vol.19 , no.1,87-98,2011.
 Raymond A. Ryan, Introduction to Tensor Product of Banach Spaces,London,Springer -Verlag,2002.
 S. Reich, “Some Remarks Concerning Contractive Mapping,” Canad. Math. Bull.,vol.4 , no.1 pp. 121-124 ,1971
 B.E. Rhoades, “Some theorems on weakly contractive maps,” Nonlinear Analysis,Vol. 47, pp. 2683–2693, 2001.