Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-16T22:05:30.390Z Has data issue: false hasContentIssue false
  • English
  • Français

Almost fixed point and best approximations theorems in H-spaces

Published online by Cambridge University Press:  17 April 2009

O. Hadžić
O. Hadžić
Affiliation:
University of Novi SadDepartment of Mathematics21000 Novi SadTrg Dositeja Obradovica 4Yugoslavia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Using the methods of KKM theory, almost fixed point and best approximations theorems in H-spaces are proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 447 - 454
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Bardaro, C. and Ceppitelli, R., ‘Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities’, J. Math. Anal. Appl. 132 (1988), 484–490.CrossRefGoogle Scholar
[2]Chang, S.S. and Yang, L., ‘Section theorems on H-spaces with applications’, J. Math. Anal. Appl. 179 (1993), 214–231.CrossRefGoogle Scholar
[3]Ding, X.P., ‘An existence theorem for maximizable H-quasiconcave functions’, Acta Math. Sinica 36 (1993), 273–279.Google Scholar
[4]Ding, X.P., ‘Equilibrium existence theorems of abstract economics in H-spaces’, Indian J. Pure Appl. Math. 25 (1994), 303–317.Google Scholar
[5]Ding, X.P. and Tan, K-K., ‘Generalizations of KKM theorem and applications to best approximations and fixed point theorems’, Southeast Asian Bull. Math. 17 (1993), 139–150.Google Scholar
[6]Ding, X.P., Kim, W.K. and Tan, K-K., ‘A new minimax inequality on H-spaces with applications’, Bull. Austral. Math. Soc. 41 (1990), 457–473.CrossRefGoogle Scholar
[7]Ding, X.P., Kim, W.K. and Tan, K-K., ‘Applications of a minimax inequality on H-spaces’, Bull. Austral. Math. Soc. 41 (1990), 475–485.CrossRefGoogle Scholar
[8]Hadžić, O., ‘Some fixed point and almost fixed point theorems for multivalued mappings in topological vector spaces’, Nonlinear Anal. Theory, Methods, Appl. 5 (1981), 1009–1019.CrossRefGoogle Scholar
[9]Hadžić, O., ‘Fixed point theorems in not necessarily locally convex spaces’, in Lecture Notes in Mathematics 943 (Springer Verlag, Berlin, Heidelberg, New York, 1982), pp. 118–130.Google Scholar
[10]Hadžić, O., ‘Some properties of measures of noncompactness in paranormed spaces’, Proc. Amer. Math. Soc. 102 (1988), 843–849.CrossRefGoogle Scholar
[11]Hadžić, O., ‘On best approximations for multivalued mappings in pseudoconvex metric spaces’, Univ.u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 24 (1994), 1–12.Google Scholar
[12]Horvath, C., ‘Measure of non-compactness and multivalued mappings in complete metric topological vector spaces’, J. Math. Anal. Appl. 180 (1985), 403–408.CrossRefGoogle Scholar
[13]Li, H.M. and Ding, X.P., ‘Versions of the KKM theorem in H-spaces and their applications’, Sichuan Shifan Dexue Xuebao Ziran Kexue Ban 16 (1993), 21–27.Google Scholar
[14]Park, S., ‘The Brouwer and Schauder fixed point theorems for spaces having certain contractible subsets’, Bull. Korean Math. Soc. 30 (1993), 83–89.Google Scholar
[15]Takahashi, W.A., ‘A convexity in metric spaces and nonexpansive mappings’, I. Kodai Math. Sem. Rep. 29 (1977), 62–70.Google Scholar
[16]Tarafdar, A., ‘A fixed point theorem in H-spaces and related results’, Bull. Austral. Math. Soc 42 (1990), 133–140.CrossRefGoogle Scholar
[17]Zhang, S.S., Kang, S.K. and Yang, L., ‘Coincidence point theorems for set-valued mappings in H-spaces and minimax inequalities’, J. Chengdu Univ. Sci. Tech. 3 (1993), 57–61.Google Scholar