• Title/Summary/Keyword: coincidences and fixed points

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COINCIDENCES AND FIXED POINT THEOREMS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON d-COMPLETE TOPOLOGICAL SPACES

  • Dimri, Ramesh Chandra;Singh, Amit
    • Communications of the Korean Mathematical Society
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    • v.27 no.4
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    • pp.709-720
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    • 2012
  • In this paper, we prove some fixed point theorems for some weaker forms of compatibility satisfying a contractive condition of integral type on d-complete Hausdorff topological spaces. Our results extend and generalize some well known previous results.

A relative nielsen number in coincidence theory

  • Jang, Chan-Gyu;Lee, Sik
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.171-181
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    • 1995
  • Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

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