Vengono caratterizzati certi tipi di contrazioni, facendone fra l'altro applicazione per ritrovare alcuni risultati di Yamamuro [9].
Referenze Bibliografiche
[1]
C. KURATOWSKII (
1966) -
Topology, Volume
1 (Section 34),
Academic Press. New York. |
MR 217751[3]
M. FURI and
A. VIGNOLI (
1970) -
On $\alpha$-nonexpansive Mappings and Fixed point Theorems, «
Accad. Naz. Lincei», (8),
48, 131-134. |
MR 279792[4] R. D. NUSSBAUM (1969) - k-set Contractions, Ph. D. Dissertation, University of Chicago.
[5]
B. N. SADOVSKII (
1972) -
Limit Compact and Condensing Operators, «
Russian Mathematical Survey»,
27, 85-155. |
MR 428132 |
Zbl 0243.47033[6]
W. V. PETRYSHYN (
1975) -
Fredholm Alternatives for nonlinear k-ball Contraction Mappings with Applications, «
Jour. Differential Equations»,
17, 82-95. |
fulltext (doi) |
MR 355713[7]
W. V. PETRYSHYN (
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. |
fulltext (doi) |
MR 328688[9]
SADAYUKI YAMAMURO (
1965) -
Monotone Mappings in Topological Linear Spaces, «
Jour. Australian Math. Soc.»,
5, 25-35. |
MR 180842[10]
R. D. NUSSBAUM (
1971) -
Estimates of the Number of Solutions of Operatr Equations, «
Applicable Analysis»,
1, 183-200. |
fulltext (doi) |
MR 296780[11]
SADAYUKI YAMAMURO (
1974) -
Differential Calculus in Topological Linear Spaces,
Lecture Note No.
374,
Spinger Verlag. |
MR 488118 |
Zbl 0276.58001[12]
K. L. SINGH (
1968) -
Contraction Mappings and Fixed Point Theorems, «
Annales de la Société Scientifique de Bruxelles»,
83, 34-44. |
MR 246177 |
Zbl 0188.55402[13] K. L. SINGH (1969) - A remark on a Paper by V. V. Bryant, «Amer. Math. Montly», 89.
[14]
K. L. SINGH (
1969) -
Some Fixed Theorems, «
Riv. Mat. Univ. Parma», (2)
10, 13-21. |
MR 293612[15]
K. L. SINGH (
1969) -
Some Further Extensions of Banach's Contraction Principles, «
Riv. Mat. Univ. Parma» (2),
10, 139-155. |
MR 296929 |
Zbl 0216.19404[16]
K. L. SINGH (
1970) -
Nonexpansive Mappings in Banach Spaces, II, «
Bull. Math. Rumania»,
14 (2), 237-246. |
MR 326513[17] K. L. SINGH - Fixed Point Theorems in Banach Spaces, I, Banaras Hindu University Scientific Journal (In Press).
[18]
K. L. SINGH and
S. SRIVASTAVA (
1971) -
On Some Fixed Point Theorems, «
Nanta Mathematica» (In Press). |
MR 454956[19]
K. L. SINGH,
S. DED and
B. GARDNER (
1971) -
On Contraction Mappings, «
Rivista Mat. Univ. Parma», (2),
12. |
MR 362281[20]
K. L. SINGH and
B. P. SINGH -
Proximate Solutions of Nonlinear Functional Equations and a Converse o f Banach's Contraction Principle, «
Bharat Ganita» (Submitted). |
MR 239069[21]
K. L. SINGH and
B. P. SINGH -
Quasi-nonexpansive Mappings and Common Fixed Points, «
Boll. Un. Mat. Ital.» (Submitted). |
MR 530455[22]
K. L. SINGH (
1972) -
Fixed Point Theorems for Densifying Mappings, I, «
The Math. Students»,
40, (3), 283-288. |
MR 423140[23]
K. L. SINGH -
Fixed Point Theorems for Densifying Mappings, «
Riv. Mat. Univ. Parma» (accepted). |
MR 540680[24]
K. L. SINGH -
Construction of Fixed Point Theorems for Densifying Mappings, «
Riv. Mat. Univ. Parma» (accepted). |
MR 540680[25]
K. L. SINGH -
Eigenvalues of Densifying Mappings, «
Accad. Naz. dei Lincei» (accepted). |
MR 448178[26]
K. L. SINGH -
Some Applications of Darbo's Theorems, «
Bull. Math. Rumania» (submitted). |
MR 435955[27] M. A. KRASNOSELSKII (1964) - Topological Methods for the study of Nonlinear Integral Equations, Pergamon Press, New York.
[28]
M. M. VAINBERG (
1964) -
Variational Methods for the study of Nonlinear Operator Equations,
Holden—Day Publishing Co., San Francisco. |
MR 176364[29] ANDREJ GRANAS (1961) - Introduction to the Topology of Function Spaces, Lecture Note, University of Chicago, Spring.
[30] K. L. SINGH - An Invariance of Domain Theorem for Increasing Densifying Mappings, «Fundamenta Mathematica» (submitted).
Con il contributo del Ministero per i Beni e le Attività Culturali