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Fixed point theory in Fr´echet spaces for M¨onch inward and contractive Urysohn type operators

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We present new fixed point theorems for inward and weakly inward Urysohn type maps. Also we discuss M¨onch Kakutani and contractive type maps.

Abstract

We present new fixed point theorems for inward and weakly inward Urysohn type maps. Also we discuss M¨onch Kakutani and contractive type maps.

참고문헌 (13)

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  8. D. O’Regan, "Fixed point theorems for nonlinear operators", Jour. Math. Anal. Appl, 202, pp.413~432 (1996)
  9. D. O’Regan, "A continuation theory for weakly inward maps", Glasgow Math. J, 40, pp.311~321 (1998)
  10. D. O’Regan, "Homotopy and Leray-Schauder type results for admissible inward multimaps", Jour. Concrete Appl. Math, 2, pp.67~76 (2004)
  11. D. O’Regan, "essential map approach for multimaps defined on closed subsets of Fr´echet spaces", Applicable Analysis, 85, pp.503~513 (2006)
  12. D. O’Regan, "Leray-Schauder results for inward acyclic and approximable maps defined on Fr´echet space", Applied Math. Letters, 19, pp.976~982 (2006)
  13. D. O’Regan, "Fixed point theory for set valued maps and existence principles for integral inclusions", Jour. Math. Anal. Appl, 245, pp.594~612 (2000)

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