Some fixed point problems

Simeon Reich

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 57, Issue: 3-4, page 194-198
  • ISSN: 0392-7881

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Reich, Simeon. "Some fixed point problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 57.3-4 (1974): 194-198. <http://eudml.org/doc/293624>.

@article{Reich1974,
author = {Reich, Simeon},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {9},
number = {3-4},
pages = {194-198},
publisher = {Accademia Nazionale dei Lincei},
title = {Some fixed point problems},
url = {http://eudml.org/doc/293624},
volume = {57},
year = {1974},
}

TY - JOUR
AU - Reich, Simeon
TI - Some fixed point problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/9//
PB - Accademia Nazionale dei Lincei
VL - 57
IS - 3-4
SP - 194
EP - 198
LA - eng
UR - http://eudml.org/doc/293624
ER -

References

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  1. ALESINA, A., MASSA, S. and ROUX, D. (1973) - Punti uniti di multifunzioni con condizioni di tipo Boyd-Wong, «Boll. Un. Mat. Ital.», 8, 29-34. Zbl0274.54036MR341203
  2. BELLUCE, L. P., KIRK, W. A. and STEINER, E. F. (1968) - Normal structure in Banach spaces, «Pacific J. Math.», 26, 433-440. Zbl0164.15001MR233178
  3. BOYD, D. W. and WONG, J. S. W. (1969) - On nonlinear contractions, «Proc. Amer. Math. Soc.», 20, 458-464. Zbl0175.44903MR239559DOI10.2307/2035677
  4. BROSDKII, M. S. and MILMAN, P. D. (1948) - On the center of a convex set, «Dokl. Akad. Nauk SSSR», 59, 837-840. MR24073
  5. BROWDER, F. E. (1965) - Nonexpansive nonlinear operators in a Banach space, «Proc. Nat. Acad. Sci. U. S. A.», 54, 1041-1044. Zbl0128.35801MR187120DOI10.1073/pnas.54.4.1041
  6. BROWDER, F. E. (1968) - The fixed point theory of multi-valued mappings in Topological vector spaces, «Math. Ann.», 177, 283-301. Zbl0176.45204MR229101DOI10.1007/BF01350721
  7. BROWDER, F. E. (1968) - Semicontractive and semiaccretive nonlinear mappings in Banach spaces, «Bull. Amer. Math. Soc.», 74, 660-665. Zbl0164.44801MR230179DOI10.1090/S0002-9904-1968-11983-4
  8. BRUCK, R. E. Jr. - A common fixed point theorem for a commuting family of nonexpansive mappings, to appear. MR361945
  9. BRYANT, J. and GUSEMAN, L. F. Jr. (1974) - Nonlinear Fixed Point Theory Bibliography, Dep. of Math., Texas A and M University, College Station, Texas. 
  10. DARBO, G. (1955) - Punti uniti in trasformazioni a codominio non compatto, «Rend. Sem. Mat. Univ. Padova», 24, 84-92. Zbl0064.35704MR70164
  11. FAN, K. (1969) - Extensions of two fixed point theorems of F. E. Browder, «Math. Z.», 112, 234-240. Zbl0185.39503MR251603DOI10.1007/BF01110225
  12. GERAGHTY, M. A. (1973) - On contractive mappings, «Proc. Amer. Math. Soc.», 40, 604-608. Zbl0245.54027MR334176DOI10.2307/2039421
  13. GERAGHTY, M. A. - An improved criterion for fixed points of contraction mappings, to appear. MR370547DOI10.1016/0022-247X(74)90155-3
  14. GOEBEL, K. and KIRK, W. A. (1973) - A fixed point theorem for transformations whose iterates have uniform Lipschitz constant, «Studia Math.», 47, 135-140. Zbl0265.47044MR336468DOI10.4064/sm-47-2-134-140
  15. HALPERN, B. (1967) - Fixed points of nonexpanding maps, «Bull. Amer. Math. Soc.», 73, 957-961. Zbl0177.19101MR218938DOI10.1090/S0002-9904-1967-11864-0
  16. HALPERN, B. and BERGMAN, G. (1968) - A fixed point theorem for inward and outward maps, «Trans. Amer. Math. Soc.», 130, 353-358. Zbl0153.45602MR221345DOI10.2307/1994976
  17. KANIEL, S. (1965) - Quasi-compact non-linear operators in Banach space and applications, «Arch. Rational Mech. Anal.», 20, 259-278. Zbl0134.32502MR187121DOI10.1007/BF00253136
  18. KANIEL, S. (1971) - Construction of a fixed point for contractions in Banach space, «Israel J. Math.», 9, 535-540. Zbl0222.47022MR284886DOI10.1007/BF02771468
  19. KIRK, W. A. (1965) - A fixed point theorem for mappings which do not increase distances, «Amer. Math. Monthly», 72, 1004-1006. Zbl0141.32402MR189009DOI10.2307/2313345
  20. KIRK, W. A. - Fixed point theorems for nonexpansive mappings satisfying certain boundary conditions, to appear. MR380527DOI10.2307/2040530
  21. KURATOWSKI, K. (1930) - Sur les espaces complets, «Fund. Math.», 15, 301-309. Zbl56.1124.04MR28007
  22. LIM, T.-C. (1974) - Characterizations of normal structure, «Proc. Amer. Math. Soc.», 43, 313-319. MR361728DOI10.2307/2038886
  23. LIM, T.-C. - A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space, to appear. MR394333DOI10.1090/S0002-9904-1974-13640-2
  24. MARTIN, R. H. Jr. (1973) - Differential equations on closed subsets of a Banach space, «Trans. Amer. Math. Soc.», 179, 399-414. MR318991DOI10.2307/1996511
  25. MARTIN, R. H. Jr. - Approximation and existence of solutions to ordinary differential equations in Banach spaces, to appear. MR352641
  26. NADLER, S. B. Jr. (1969) - Multi-valued contraction mappings, «Pacific J.Math.», 30, 475-488. Zbl0187.45002MR254828
  27. REICH, S. (1972) - Fixed points of contractive functions, «Boll. Un. Mat. Ital.», 5, 26-42. Zbl0249.54026MR309095
  28. REICH, S. (1972) - Fixed points in locally convex spaces, «Math. Z.», 125, 17-31. Zbl0216.17302MR306989DOI10.1007/BF01111112
  29. REICH, S. (1972) - Remarks on fixed points, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. natur.», 52, 689-697. Zbl0256.47043MR331139
  30. REICH, S. (1972) - Remarks on fixed point, II, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. natur.», 53, 250-254. MR435953
  31. REICH, S. (1973) - Fixed points of condensing functions, «J. Math. Anal. Appl.», 41, 460-467. Zbl0252.47062MR322609DOI10.1016/0022-247X(73)90220-5
  32. REICH, S. (1973) - Asymptotic behavior of contractions in Banach spaces, «J. Math. Anal. Appl.», 44, 57-70. Zbl0275.47034MR328689DOI10.1016/0022-247X(73)90024-3
  33. REICH, S. - On fixed point theorems obtained from existence theorems for differential equations, in preparation. Zbl0328.47034
  34. TYCHONOFF, A. (1935) - Ein Fixpunkisatz, «Math. Ann.», 111, 767-776. Zbl0012.30803MR1513031DOI10.1007/BF01472256

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