On some topological problems arising from maps of contractive type
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- by Kok Keong Tan and Chi Song Wong
- Proc. Amer. Math. Soc. 62 (1977), 167-172
- DOI: https://doi.org/10.1090/S0002-9939-1977-0428265-8
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Abstract:
Characterizations of sequentially complete and of countably compact subsets of a uniform space are obtained. Applications to fixed point theory and coincidence theory are given.References
- Jörg Blatter, Grothendieck spaces in approximation theory, Memoirs of the American Mathematical Society, No. 120, American Mathematical Society, Providence, R.I., 1972. MR 0493107
- D. W. Boyd and J. S. W. Wong, On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458–464. MR 239559, DOI 10.1090/S0002-9939-1969-0239559-9
- Felix E. Browder, On the convergence of successive approximations for nonlinear functional equations, Indag. Math. 30 (1968), 27–35. Nederl. Akad. Wetensch. Proc. Ser. A 71. MR 0230180 J. Dugundji, Positive definite functions and coincidences, Séminaire de Mathématique Superieures (Fixed Point Theory and its Applications), Université de Montréal, June 1973.
- M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74–79. MR 133102, DOI 10.1112/jlms/s1-37.1.74 Chi Song Wong, Fixed point theorems for nonexpansive mappings, Ph.D. Thesis, Univ. of Illinois, Urbana, Illinois, 1969.
- Chi Song Wong, Subadditive functions, Pacific J. Math. 36 (1971), 549–551. MR 279251
- Chi Song Wong, Fixed point theorems for nonexpansive mappings, J. Math. Anal. Appl. 37 (1972), 142–150. MR 293614, DOI 10.1016/0022-247X(72)90263-6
- Chi Song Wong, A fixed point theorem for a class of mappings, Math. Ann. 204 (1973), 97–103. MR 367964, DOI 10.1007/BF01433408
- Chi Song Wong, On Dugundji’s notion of positive definiteness, Proc. Amer. Math. Soc. 46 (1974), 443–450. MR 418076, DOI 10.1090/S0002-9939-1974-0418076-9
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 167-172
- MSC: Primary 54C30; Secondary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0428265-8
- MathSciNet review: 0428265