Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (8): 771-778.

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FIXED POINTS OF A PAIR OF ASYMPTOTICALLY REGULAR MAPPINGS

B. K. Sharma, B. S. Thakur   

  1. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur-492010 India
  • Received:1996-11-20 Online:1997-08-18 Published:1997-08-18

Abstract: In this paper some theorems on fixed points of pair of asymptotically regularmappings in p-uniformly convex Banach space are proved For these mappings somefixed point theorems in a Hilbert space.in Lp spaces in Hardy spaces Hp and in Sobolev spaces Hpk for 1<P<+∞ and K≥0 are also established.Thus resultsof Gornicki[9,10] Kruppel[11,12] and others are extended.

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