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References
C. Bowszyc, Fixed point theorem for the pairs of spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 16 (1968), 845–850.
R. F. Brown, The Lefschetz Fixed Point Theorem, Scott Foresman and Co., Glenview, IL, 1971.
R. F. Brown and R. Sanderson, Fixed points of boundary-preserving maps of surfaces, Pacific J. Math. 158 (1993), 243–264.
B. Jiang, On the least number of fixed points, Amer. J. Math. 102 (1980), 749–763.
_____, Fixed point class from a differentable viewpoint, Fixed Point Theory, Lecture Notes in Math., vol. 886, Springer Berlin, 1981, pp. 163–170.
_____, Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics, vol. 14, AMS, Providence, RI, 1983.
_____, Fixed point and braids II, Math. Ann. 272 (1985), 249–256.
_____, Commutativity and Wecken properties for fixed points on surfaces and 3-manifolds, Topology Appl. 53 (1993), 221–228.
M. Kelly, The relative Nielsen number and boundary-preserving maps of compact surfaces, Pacific J. Math. 161 (1993), 139–153.
_____ Fixed points boundary-preserving maps on punctured projective planes, Topology Appl. 124 (2002), 145–157.
T. H. Kiang, The Theory of Fixed Point Classes, Springer—Verlag, Berlin, Science Press, Beijing, 1989.
H. Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986), 459–473.
_____, On the location of fixed points on pairs of spaces, Topology Appl. 30 (1988), 253–266.
_____, A survey of relative Nielsen fixed point theory, Nielsen Theory and Dynamical Systems, Contemporary Mathematics, vol. 152, AMS, Providence, RI, 1993, pp. 291–310.
G. Shi, On the least number of fixed points and Nielsen numbers, Acta Math. Sinica 16 (1966), 223–232.
X. Zhao, A relative Nielsen number for the complement, Topological Fixed Point Theory and Applications, Lecture Notes in Math., vol. 1411, Springer, Berlin, 1990, pp. 189–199.
_____, Basic relative Nielsen numbers, Topology — Hawaii, World Scientific, 1992, pp. 215–222.
_____, Minimal fixed point sets of relative maps, Fund. Math. 162 (1999), 163–180.
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Zhao, X. (2005). Relative Nielsen Theory. In: Brown, R.F., Furi, M., Górniewicz, L., Jiang, B. (eds) Handbook of Topological Fixed Point Theory. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3222-6_18
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