Two theorems characterizing increasing k-set contraction mappings

Kanhaya Lal Singh

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 59, Issue: 6, page 749-757
  • ISSN: 0392-7881

How to cite

top

Singh, Kanhaya Lal. "Two theorems characterizing increasing k-set contraction mappings." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.6 (1975): 749-757. <http://eudml.org/doc/290948>.

@article{Singh1975,
author = {Singh, Kanhaya Lal},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {749-757},
publisher = {Accademia Nazionale dei Lincei},
title = {Two theorems characterizing increasing k-set contraction mappings},
url = {http://eudml.org/doc/290948},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Singh, Kanhaya Lal
TI - Two theorems characterizing increasing k-set contraction mappings
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/12//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 6
SP - 749
EP - 757
LA - eng
UR - http://eudml.org/doc/290948
ER -

References

top
  1. KURATOWSKII, C. (1966) - Topology, Volume 1 (Section 34), Academic Press. New York. MR217751
  2. DARBO, G. (1955) - Punti Uniti in Transformazioni a Codomino Noncompatto, «Rend. Sem. Mat. Padova», 24, 84-92. Zbl0064.35704MR70164
  3. FURI, M. and VIGNOLI, A. (1970) - On α -nonexpansive Mappings and Fixed point Theorems, «Accad. Naz. Lincei», (8), 48, 131-134. MR279792
  4. NUSSBAUM, R. D. (1969) - k-set Contractions, Ph. D. Dissertation, University of Chicago. 
  5. SADOVSKII, B. N. (1972) - Limit Compact and Condensing Operators, «Russian Mathematical Survey», 27, 85-155. Zbl0243.47033MR428132
  6. PETRYSHYN, W. V. (1975) - Fredholm Alternatives for nonlinear k-ball Contraction Mappings with Applications, «Jour. Differential Equations», 17, 82-95. MR355713DOI10.1016/0022-0396(75)90036-4
  7. PETRYSHYN, W. V. (1973) - Fixed point Theorems for Various class of 1-set Contractions and 1-ball Contractions in Banach spaces, «Trans. Amer. Math. Soc.», 182, 323-352. MR328688DOI10.2307/1996537
  8. PETRYSHYN, W. V. (1971) - Structure of Fixed point sets of k-set Contractions, «Arch. Rat. Mech. and Anal.», 40, 312-328. Zbl0218.47028MR273480DOI10.1007/BF00252680
  9. YAMAMURO, SADAYUKI (1965) - Monotone Mappings in Topological Linear Spaces, «Jour. Australian Math. Soc.», 5, 25-35. MR180842
  10. NUSSBAUM, R. D. (1971) - Estimates of the Number of Solutions of Operatr Equations, «Applicable Analysis», 1, 183-200. MR296780DOI10.1080/00036817108839013
  11. YAMAMURO, SADAYUKI (1974) - Differential Calculus in Topological Linear Spaces, Lecture Note No. 374, Spinger Verlag. Zbl0276.58001MR488118
  12. SINGH, K. L. (1968) - Contraction Mappings and Fixed Point Theorems, «Annales de la Société Scientifique de Bruxelles», 83, 34-44. Zbl0188.55402MR246177
  13. SINGH, K. L. (1969) - A remark on a Paper by V. V. Bryant, «Amer. Math. Montly», 89. 
  14. SINGH, K. L. (1969) - Some Fixed Theorems, «Riv. Mat. Univ. Parma», (2) 10, 13-21. MR293612
  15. SINGH, K. L. (1969) - Some Further Extensions of Banach's Contraction Principles, «Riv. Mat. Univ. Parma» (2), 10, 139-155. Zbl0216.19404MR296929
  16. SINGH, K. L. (1970) - Nonexpansive Mappings in Banach Spaces, II, «Bull. Math. Rumania», 14 (2), 237-246. MR326513
  17. SINGH, K. L. - Fixed Point Theorems in Banach Spaces, I, Banaras Hindu University Scientific Journal (In Press). 
  18. SINGH, K. L. and SRIVASTAVA, S. (1971) - On Some Fixed Point Theorems, «Nanta Mathematica» (In Press). MR454956
  19. SINGH, K. L., DED, S. and GARDNER, B. (1971) - On Contraction Mappings, «Rivista Mat. Univ. Parma», (2), 12. MR362281
  20. SINGH, K. L. and SINGH, B. P. - Proximate Solutions of Nonlinear Functional Equations and a Converse o f Banach's Contraction Principle, «Bharat Ganita» (Submitted). MR239069
  21. SINGH, K. L. and SINGH, B. P. - Quasi-nonexpansive Mappings and Common Fixed Points, «Boll. Un. Mat. Ital.» (Submitted). MR530455
  22. SINGH, K. L. (1972) - Fixed Point Theorems for Densifying Mappings, I, «The Math. Students», 40, (3), 283-288. MR423140
  23. SINGH, K. L. - Fixed Point Theorems for Densifying Mappings, «Riv. Mat. Univ. Parma» (accepted). MR540680
  24. SINGH, K. L. - Construction of Fixed Point Theorems for Densifying Mappings, «Riv. Mat. Univ. Parma» (accepted). MR540680
  25. SINGH, K. L. - Eigenvalues of Densifying Mappings, «Accad. Naz. dei Lincei» (accepted). MR448178
  26. SINGH, K. L. - Some Applications of Darbo's Theorems, «Bull. Math. Rumania» (submitted). MR435955
  27. KRASNOSELSKII, M. A. (1964) - Topological Methods for the study of Nonlinear Integral Equations, Pergamon Press, New York. 
  28. VAINBERG, M. M. (1964) - Variational Methods for the study of Nonlinear Operator Equations, Holden—Day Publishing Co., San Francisco. MR176364
  29. GRANAS, ANDREJ (1961) - Introduction to the Topology of Function Spaces, Lecture Note, University of Chicago, Spring. 
  30. SINGH, K. L. - An Invariance of Domain Theorem for Increasing Densifying Mappings, «Fundamenta Mathematica» (submitted). 

NotesEmbed ?

top

You must be logged in to post comments.