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2002, br. 6, str. 109-118
Extension of theorems by Krasnoselskij, Stečenko, Dugundji, Granas, Kiventidis, Romaguera, Caristi and Kirk
(naslov ne postoji na srpskom)
Univerzitet u Beogradu, Matematički fakultet, Srbija
Ključne reči: fixed point theorems; topological spaces; weakly contractive mappings; general monotone principle of fixed point; furcate points; monotone and forks principle
Sažetak
(ne postoji na srpskom)
In this paper we describe a class of conditions sufficient for the existence of a furcate point which generalize several known results of fixed point.
Reference
Caristi, J. (1976) Fixed point theorems for mappings satisfying inwardness conditions. Trans. Amer. Math. Soc., 215, 241-251
Dugundji, J., Granas, A. (1978) Weakly contractive maps and elementary domain invariance theorem. Bull. Soc. Math. Grece (N.S.), 19, 1, 141-151
Kirk, W.A. (1976) Caristi's fixed point theorem and metric convexity. Colloq. Math., 36, 1, 81-86
Kirk, W.A., Caristi, J. (1975) Mappings theorems in metric and Banach spaces. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom., 23, 8, 891-894
Kiventidis, T. (1985) On fixed points in Hausdorff spaces. Indian Journal of Pure and Applied Mathematics, 16, 12, 1420-1424
Krasnoselskij, M.A., Stečenko, V. (1969) K teorii uravnenia s vognutim operatorami. Siberian Mathematical Journal, 10, 562-572
Romaguera, S. (1993) Fixed point theorems for mappings in complete quasi-metric spaces. An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat., 39, 2, 159-164
Tasković, M.R. (1985) A monotone principle of fixed points. Proc. Amer. Math. Soc., 94, 3, 427-432
Tasković, M.R. (2001) Nonlinear functional analysis. u: Second Book: Monographs - Global Convex Analysis - General convexity, Variational methods and Optimization, Beograd: Zavod za udžbenike i nastavna sredstva, in Serbian
Tasković, M.R. (2001) Transversal and fixed points, forks, general convex functions and applications. u: Nonlinear Functional Analysis, Beograd: Zavod za udžbenike i nastavna sredstva, vol. 2, 1067-1172
Tasković, M.R. (2001) General expansion mappings on topological spaces. Sci. Math. Jpn., 54, 1, 61-67
Tasković, M.R. (1998) New geometric fixed point theorems. Mathematica Moravica, 2, 143-148
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor0206109T
objavljen u SCIndeksu: 02.06.2007.

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