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Fixed point theory for inward set valued maps in hyperconvex metric spaces

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In this paper, we first introduce inwards set valued maps in hyperconvex metric spaces. Then we present fixed point theory for continuous condensing inward set valued maps.

Abstract

In this paper, we first introduce inwards set valued maps in hyperconvex metric spaces. Then we present fixed point theory for continuous condensing inward set valued maps.

참고문헌 (6)

  1. R. P. Agarwal, "Fixed-point theory for closed inward set valued maps", Mathematical and Computer Modelling, 325, pp.1305~1310 (2000)
  2. A. Amini-Harandi, "Fixed point theory for condensing multimaps on abstract convex uniform spaces", Nonlinear Functional Analysis and Applications
  3. N. Aronszajn, "Extensions of uniformly continuous transformations and hyperconvex metric spaces", Pacific J. Math, 6, pp.405~439 (1956)
  4. B. Halpern, "Fixed point theorems for outward maps", Doctoral, pp.1965
  5. W. A. Kirk, "Handbook of metric fixed point theory" (2001), Kluwer Academic Publishers
  6. W. A. Kirk, "The Knaster-Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications", Nonlinear Analysis, 39, pp.611~627 (2000)

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