[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.4.579

FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES

P. Agarwal, Ravi (Department of Mathematical Sciences Florida Institute of Technology)
O'ReganDonal (Department of Mathematics National University of Ireland)
ParkSehie (National Academy of Sciences, Republic of Korea and School of Mathematical Sciences Seoul National University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 579-591 More about this Journal

Abstract

New fixed Point results for the (equation omitted) selfmaps ale given. The analysis relies on a factorization idea. The notion of an essential map is also introduced for a wide class of maps. Finally, from a new fixed point theorem of ours, we deduce some equilibrium theorems.

Keywords

admissible class of multimaps; (approximate) extension space; Schauder admissible set; essential map; quasi-variational inequality;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 9 (Related Records In Web of Science)
Times Cited By SCOPUS : 18

1	On some generalized quasi-equlibrium problems / [ L.-J. Lin;S. Park ] / J. Math. Anal. Appl. DOI ScienceOn
2	/ [] / Corrections, ibid DOI
3	Generalized quasi-variational inequalities / [ S. Park;M.-P. Chen ] / Far East J. Math. Sci.
4	Fixed points for compact multifunctions / [ C. J. Himmelberg ] / J. Math. Anal. Appl. DOI
5	The concidence problem for compositions of set valued maps / [ H. Ben-EL-Mechaiekh ] / Bull. Austral. Math. Soc. DOI
6	Homological methods in fixed point theory of multivalued maps / [ L. Gorniewicz ] / Dessertationes Math.
7	A unified fixed point theory of multimaps on topological vector spaces / [ Sehie Park ] / J. Korean Math. Soc. 과학기술학회마을
8	Fixed points and quasi-eqilibrium problems / [ Sehie Park ] / Math. Comput. Modelling DOI ScienceOn
9	Fixed Point Theory / [ J. Dugundji;A. Granas ] / Monografie Mathematyczne
10	/ [ L. Gorniewicz ] / Topological fixed point theory of multivalued mappings
11	A unified approach to generalized quasi-variational inequalities / [ M.-P. Chen;S. Park ] / Comm. Appl. Nonlinear Anal.
12	Leray-Schauder type theorems and equilibrium existence theorems / [ A. Idzik;S. Park ] / Differential Inclusion and Optimal Control, Lecture Notes in Nonlinear Anal.
13	The Idzik type quasivariational inequalities and noncompact optimization problems / [ S. Park;J. A. Parkk ] / Colloq. Math.
14	General fixed point theorems for narnconvex set valued maps / [ H. Ben-El-Mechaiekh;P. Deguire ] / C. R. Acad. Sci. Paris
15	/ [ A. Granas ] / Points fixes pour les applications compactes: espaces de Lefschetz et la theorie de l'indice
16	Spaces and maps approximation and fixed points / [ H. Ben-El-Mechaiekh ] / J. Comput. Appl. Math. DOI ScienceOn
17	Fixed points, intersection theorems, variational inequalities, and equilibrium theorems / [ Sehie Park ] / Int. J. Math. Math. Sci. DOI ScienceOn

3	Donal O’Regan. (2009) Rendiconti del Circolo Matematico di Palermo Fixed point theory for permissible extension type maps / 58 (3) , 477
	Donal O’Regan. (2017) Applicable Analysis Deterministic and random fixed points for maps on extension type spaces / , 1
11	Donal O’Regan. (2010) Applied Mathematics and Computation Essential extension type maps for general classes of maps / 216 (11) , 3391
4	K. Włodarczyk. (2006) Nonlinear Analysis: Theory, Methods & Applications Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges / 65 (4) , 918
1	Donal O’Regan. (2009) Rendiconti del Circolo Matematico di Palermo Asymptotic Lefschetz fixed point theory for ANES(compact) maps / 58 (1) , 87
5	Donal O’Regan. (2009) Applied Mathematics and Computation The fixed point index for compact absorbing contractive admissible maps / 215 (5) , 1975
3	Donal O'Regan. (2003) Nonlinear Analysis: Theory, Methods & Applications Initial and boundary value problems for fuzzy differential equations / 54 (3) , 405
1	Jan Andres. (2015) Fixed Point Theory and Applications Recent results on the topological fixed point theory of multivalued mappings: a survey / 2015 (1)
13	Mohamed Jleli. (2017) Applicable Analysis Essential maps and coincidence theory / 96 (13) , 2285
2	Donal O'Regan. (2009) Applicable Analysis Fixed point theory for extension type maps in topological spaces / 88 (2) , 301
3	Ravi P. Agarwal. (2005) Proceedings Mathematical Sciences Fixed point theory for composite maps on almost dominating extension spaces / 115 (3) , 339
03	Ravi P. Agarwal. (2011) Asian-European Journal of Mathematics FIXED POINT THEOREMS FOR GENERAL CLASSES OF MAPS ACTING ON TOPOLOGICAL VECTOR SPACES / 04 (03) , 373

1	/ Stochastic Analysis and Applications
2	/ Nonlinear Analysis, Theory, Methods and Applications
3	/ Fixed Point Theory and Applications
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5	/ Abstract and Applied Analysis
6	/ Proceedings of the Indian Academy of Sciences: Mathematical Sciences
7	/ International Journal of Mathematics and Mathematical Sciences
8	/ Nonlinear Analysis, Theory, Methods and Applications
9	/ Applicable Analysis
10	/ Applied Mathematics and Computation (New York)
11	/ Communications in Applied Analysis
12	/ Dynamic Systems and Applications
13	/ Fixed Point Theory
14	/ Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
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