• Title/Summary/Keyword: subcompatible maps

Search Result 2, Processing Time 0.013 seconds

COMMON FIXED POINTS AND INVARIANT APPROXIMATIONS FOR SUBCOMPATIBLE MAPPINGS IN CONVEX METRIC SPACE

  • Nashine, Hemant Kumar;Kim, Jong-Kyu
    • East Asian mathematical journal
    • /
    • v.26 no.1
    • /
    • pp.39-47
    • /
    • 2010
  • Existence of common fixed points for generalized S-nonexpansive subcompatible mappings in convex metric spaces have been obtained. Invariant approximation results have also been derived by its application. These results extend and generalize various known results in the literature with the aid of more general class of noncommuting mappings.

COMMON FIXED POINT THEOREM AND INVARIANT APPROXIMATION IN COMPLETE LINEAR METRIC SPACES

  • Nashine, Hemant Kumar
    • East Asian mathematical journal
    • /
    • v.28 no.5
    • /
    • pp.533-541
    • /
    • 2012
  • A common fixed point result of Gregus type for subcompatible mappings defined on a complete linear metric space is obtained. The considered underlying space is generalized from Banach space to complete linear metric spaces, which include Banach space and complete metrizable locally convex spaces. Invariant approximation results have also been determined as its application.