• Title/Summary/Keyword: P-space

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COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS OF TYPE (A) AND (P) WITH APPLICATIONS IN DYNAMIC PROGRAMMING

  • Jiang, Guojing;Liu, Min;Lee, Suk-Jin;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.11-26
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    • 2009
  • In this paper, the concepts of compatible mappings of types (A) and (P) are introduced in an induced metric space, two common xed point theorems for two pairs of compatible mappings of types (A) and (P) in an induced complete metric space are established. As their applications, the existence and uniqueness results of common solution for a system of functional equations arising in dynamic programming are discussed.

A WEAK COMMON FIXED POINT THEOREM IN NORMED ALMOST LINEAR SPACES

  • Lee, Sang-Han
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.573-581
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    • 1997
  • In this paper we prove a weak common fixed point theo-rem in a normed almost linear space which is different from the result of S. P. Singh and B.A. Meade [9]. However for a Banach X our theorem is equal to the result of S. P. Singh and B. A. Meade.

On a weighted hardy-sobolev space functions (I)

  • Kwon, E.G.
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.349-357
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    • 1996
  • Using a special property of Bloch functions with Hardmard gaps and using the geometric properties of the self maps of the unit disc, we give a way of constructing explicit examples of Bloch functions f whose derivative is in $H^p$ (0 < p < 1) but $f \notin BMOA$.

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A GEOMETRIC REALIZATION OF (7/3)-RATIONAL KNOT

  • D.A.Derevnin;Kim, Yang-Kok
    • Communications of the Korean Mathematical Society
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    • v.13 no.2
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    • pp.345-358
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    • 1998
  • Let (p/q,n) denote the orbifold with its underlying space $S^3$ and a rational knot or link p/q as its singular set with a cyclic isotropy group of order n. In this paper we shall show the geometrical realization for the case (7/3,n) for all $n \geq 3$.

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