Vengono caratterizzati certi tipi di contrazioni, facendone fra l'altro applicazione per ritrovare alcuni risultati di Yamamuro [9].
@article{RLINA_1975_8_59_6_749_0, author = {Kanhaya Lal Singh}, title = {Two theorems characterizing increasing k-set contraction mappings}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {59}, year = {1975}, pages = {749-757}, zbl = {0349.47053}, mrnumber = {0482413}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1975_8_59_6_749_0} }
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, Tome 59 (1975) pp. 749-757. http://gdmltest.u-ga.fr/item/RLINA_1975_8_59_6_749_0/
[1] 1 (Section 34), Academic Press. New York. | MR 217751
(1966) - Topology, Volume[2] Punti Uniti in Transformazioni a Codomino Noncompatto, «Rend. Sem. Mat. Padova», 24, 84-92. | MR 70164 | Zbl 0064.35704
(1955) -[3] On -nonexpansive Mappings and Fixed point Theorems, «Accad. Naz. Lincei», (8), 48, 131-134. | MR 279792
and (1970) -[4] k-set Contractions, Ph. D. Dissertation, University of Chicago.
(1969) -[5] Limit Compact and Condensing Operators, «Russian Mathematical Survey», 27, 85-155. | MR 428132 | Zbl 0243.47033
(1972) -[6] Fredholm Alternatives for nonlinear k-ball Contraction Mappings with Applications, «Jour. Differential Equations», 17, 82-95. | MR 355713
(1975) -[7] Fixed point Theorems for Various class of 1-set Contractions and 1-ball Contractions in Banach spaces, «Trans. Amer. Math. Soc.», 182, 323-352. | MR 328688
(1973) -[8] Structure of Fixed point sets of k-set Contractions, «Arch. Rat. Mech. and Anal.», 40, 312-328. | MR 273480 | Zbl 0218.47028
(1971) -[9] Monotone Mappings in Topological Linear Spaces, «Jour. Australian Math. Soc.», 5, 25-35. | MR 180842
(1965) -[10] Estimates of the Number of Solutions of Operatr Equations, «Applicable Analysis», 1, 183-200. | MR 296780
(1971) -[11] 374, Spinger Verlag. | MR 488118 | Zbl 0276.58001
(1974) - Differential Calculus in Topological Linear Spaces, Lecture Note No.[12] Contraction Mappings and Fixed Point Theorems, «Annales de la Société Scientifique de Bruxelles», 83, 34-44. | MR 246177 | Zbl 0188.55402
(1968) -[13] A remark on a Paper by V. V. Bryant, «Amer. Math. Montly», 89.
(1969) -[14] Some Fixed Theorems, «Riv. Mat. Univ. Parma», (2) 10, 13-21. | MR 293612
(1969) -[15] Some Further Extensions of Banach's Contraction Principles, «Riv. Mat. Univ. Parma» (2), 10, 139-155. | MR 296929 | Zbl 0216.19404
(1969) -[16] Nonexpansive Mappings in Banach Spaces, II, «Bull. Math. Rumania», 14 (2), 237-246. | MR 326513
(1970) -[17] Fixed Point Theorems in Banach Spaces, I, Banaras Hindu University Scientific Journal (In Press).
-[18] On Some Fixed Point Theorems, «Nanta Mathematica» (In Press). | MR 454956
and (1971) -[19] On Contraction Mappings, «Rivista Mat. Univ. Parma», (2), 12. | MR 362281
, and (1971) -[20] Proximate Solutions of Nonlinear Functional Equations and a Converse o f Banach's Contraction Principle, «Bharat Ganita» (Submitted). | MR 239069
and -[21] Quasi-nonexpansive Mappings and Common Fixed Points, «Boll. Un. Mat. Ital.» (Submitted). | MR 530455
and -[22] Fixed Point Theorems for Densifying Mappings, I, «The Math. Students», 40, (3), 283-288. | MR 423140
(1972) -[23] Fixed Point Theorems for Densifying Mappings, «Riv. Mat. Univ. Parma» (accepted). | MR 540680
-[24] Construction of Fixed Point Theorems for Densifying Mappings, «Riv. Mat. Univ. Parma» (accepted). | MR 540680
-[25] Eigenvalues of Densifying Mappings, «Accad. Naz. dei Lincei» (accepted). | MR 448178
-[26] Some Applications of Darbo's Theorems, «Bull. Math. Rumania» (submitted). | MR 435955
-[27]
(1964) - Topological Methods for the study of Nonlinear Integral Equations, Pergamon Press, New York.[28] | MR 176364
(1964) - Variational Methods for the study of Nonlinear Operator Equations, Holden—Day Publishing Co., San Francisco.[29]
(1961) - Introduction to the Topology of Function Spaces, Lecture Note, University of Chicago, Spring.[30] An Invariance of Domain Theorem for Increasing Densifying Mappings, «Fundamenta Mathematica» (submitted).
-