On some properties of \(K\)-monotone operators
Abstract
Not available.Downloads
References
Barbu, V.; Precupanu, Th. Convexity and optimization in Banach spaces. Revised edition. Translated from the Romanian. Editura Academiei, Bucharest; Sijthoff & Noordhoff International Publishers, Alphen aan den Rijn, 1978. xi+316 pp. ISBN: 90-286-0018-3, MR0513634.
Browder, Felix E. Nonlinear elliptic boundary value problems. Bull. Amer. Math. Soc. 69 1963, pp. 862-874, MR0156116, https://doi.org/10.1090/s0002-9904-1963-11068-x
Browder, Felix E. Problèmes nonlinéaires. (French) Séminaire de Mathématiques Supérieures, No. 15 (Été, 1965) Les Presses de l'Université de Montréal, Montreal, Que. 1966 153 pp., MR0250140.
Browder, Felix E., Nonlinear maximal monotone operators in Banach space. Math. Ann. 175 1968, pp. 89-113, MR0223942, https://doi.org/10.1007/bf01418765
Cristescu, Romulus Topological vector spaces. Translated from the Romanian by Mihaela Suliciu. Editura Academiei, Bucharest; Noordhoff International Publishing, Leyden, 1977. x+232 pp. ISBN: 90-286-0116-3 46-01, MR0454552.
Fitzpatrick, P. M. Surjectivity results for non-linear mappings from a Banach space to its dual. Math. Ann. 204 (1973), pp. 177-188, MR0637098, https://doi.org/10.1007/bf01351586
Jameson, G., Ordered Linear Spaces, Lecture Notes in Math., 141, Springer-Verlag, 1970, https://doi.org/10.1007/bfb0059132
Kachurovskii, R. I., On monotone operators and convex functionals. (in Russian), Uspechi Mat. Nauk. 15, pp.213-215 (1960).
Kato, Tosio Demicontinuity, hemicontinuity and monotonicity. Bull. Amer. Math. Soc. 70 1964 548-550, MR0163198, https://doi.org/10.1090/s0002-9904-1964-11194-0
Kato, Tosio Demicontinuity, hemicontinuity and monotonicity. II. Bull. Amer. Math. Soc. 73 1967, pp. 886-889, MR0238135, https://doi.org/10.1090/s0002-9904-1967-11828-7
Minty, George J. on a "monotonicity" method for the solution of non-linear equations in Banach spaces. Proc. Nat. Acad. Sci. U.S.A. 50 1963, pp. 1038-1041, MR0162159, https://doi.org/10.1073/pnas.50.6.1038
Pascali, Dan; Sburlan, Silviu Nonlinear mappings of monotone type. Martinus Nijhoff Publishers, The Hague; Sijthoff & Noordhoff International Publishers, Alphen aan den Rijn, 1978. x+341 pp. ISBN: 90-286-0118-*, MR0531036.
Peressini, Anthony L., Ordered topological vector spaces. Harper & Row, Publishers, New York-London 1967 x+228 pp., MR0227731.
Precup, R., O generalizare a noţiunii de monotonie în sensul lui Minty-Browder, Sem. itin. ec. fucnt. aprox. convex., Cluj-Napoca, pp. 54-64 (1978).
Precup, R., Monotonicity properties of the best approximation operators, Itinerant Seminar on funcitonal Equations, Approx. and Convexity, Cluj-Napoca, pp. 223-226 (1986).
Precup, Radu A K-monotone best approximation operator which is neither monotone and (essentially) nor (O)-monotone. Anal. Numér. Théor. Approx. 15 (1986), no. 2, pp. 153-162, MR0889525.
Rockafellar, R. T., Local boundedness of nonlinear, monotone operators. Michigan Math. J. 16 1969 397-407, MR0253014, https://doi.org/10.1307/mmj/1029000324
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
This work is licensed under a Creative Commons Attribution 4.0 International License.
Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
