Contemporary Mathematics 1983; 218 pp; softcover Volume: 21 ISBN10: 0821850237 ISBN13: 9780821850237 List Price: US$40 Member Price: US$32 Order Code: CONM/21
 This volume contains the proceedings of the special session on Fixed Point Theory and Applications held during the Summer Meeting of the American Mathematical Society at the University of Toronto, August 2126, 1982. The theory of contractors and contractor directions is developed and used to obtain the existence theory under rather weak conditions. Theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasinonexpansive mappings are given. Degree of mapping and its generalizations are given in detail. A class of eventually condensing mappings is studied and multivalued condensing mappings with multiple fixed points are also given. Topological fixed points, including the study of the Nielsen number of a selfmap on a compact surface, extensions of a wellknown result of Krasnosel'skiĭ's Compression of a Cone Theorem, are given. Also, fixed points, antipodal points, and coincidences of multifunctions are discussed. Several results with applications in the field of partial differential equations are given. Application of fixed point theory in the area of Approximation Theory is also illustrated. Table of Contents  M. Altman  Contractors and fixed points
 F. E. Browder  The degree of mapping, and its generalizations
 R. F. Brown  Multiple fixed points of compact maps on wedgelike ANRS in Banach spaces
 E. R. Fadell and S. Husseini  The Nielsen numbers on surfaces
 G. Fournier  A good class of eventually condensing maps
 K. Goebel and W. A. Kirk  Iteration process for nonexpansive mappings
 M. von Golitschek and E. W. Cheney  The best approximation of bivariate functions of separable functions
 R. Guzzardi  Positive solutions of operator equations in the nondifferentiable case
 D. S. Jaggi  On fixed points of nonexpansive mappings
 M. Martelli  Large oscillations of forced nonlinear differential equations
 S. A. Naimpally, K. L. Singh, and J. H. W. Whitfield  Fixed points and sequences of iterates in locally convex spaces
 P. L. Papini  Fixed points theorems and Jung constant in Banach spaces
 W. V. Petryshyn  Some results on multiple positive fixed points of multivalued condensing maps
 S. Reich  Some problems and results in fixed point theory
 B. E. Rhoades  Contractive definitions revisited
 H. Schirmer  Fixed points, antipodal points and coincidences of nacyclic multifunctions
 V. M. Sehgal, S. P. Singh, and B. Watson  A coincidence theorem for topological vector spaces
 V. M. Sehgal and C. Waters  Some random fixed point theorems
