Results 21 to 30 of about 390 (62)
Contractive maps in locally transitive relational metric spaces [PDF]
, 2013 Some fixed point results are given for a class of Meir-Keeler contractive maps acting on metric spaces endowed with locally transitive relations. Technical connections with the related statements due to Berzig et al [Abstr. Appl.
Turinici, Mihai
core +3 more sources
Common fixed points of set‐valued mappings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 6, Page 411-415, 2001., 2001 The main purpose of this paper is to obtain a common fixed point for a pair of set‐valued mappings of Greguš type condition. Our theorem extend Diviccaro et al. (1987), Guay et al. (1982), and Negoescu (1989).
M. R. Singh, L. S. Singh, P. P. Murthy
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Fixed points via a generalized local commutativity
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 497-507, 2001., 2001 Let g : X → X. The concept of a semigroup of maps which is “nearly commutative at g” is introduced. We thereby obtain new fixed point theorems for functions with bounded orbit(s) which generalize a recent theorem by Huang and Hong, and results by Jachymski, Jungck, Ohta, and Nikaido, Rhoades and Watson, and others.
Gerald F. Jungck
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Related fixed points for set valued mappings on two metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 3, Page 205-210, 2000., 2000 Some related fixed points theorems for set valued mappings on two complete and compact metric spaces are proved.
Brian Fisher, Duran Türkoglu
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Some results on maximal elements
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 409-413, 2000., 2000 We prove some results on maximal elements using the KKM‐map principle.
Antonio Carbone
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A theorem of Meir‐Keeler type revisited
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 507-511, 2000., 2000 In 1993, the authors presented a fixed point theorem of Meir‐Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement of this lemma and give a valid proof thereof, so that the main result of the previous paper is still true.
Y. J. Cho, P. P. Murthy, G. Jungck
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Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000 From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
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Approximating fixed points of nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 173-177, 2000., 2000 We consider a mapping S of the form , where αi ≥ 0, α0 > 0, α1 > 0 and . We show that the Picard iterates of S converge to a common fixed point of Ti(i = 1,2,…,k)in a Banach space when Ti(i = 1,2,…,k) are nonexpansive.
Guimei Liu, Deng Lei, Shenghong Li
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Fixed points and selections of set‐valued maps on spaces with convexity
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 595-612, 2000., 2000 We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non‐locally convex topological vector spaces or generalized convexity structures due to Michael,
Peter Saveliev
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Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu +4 more
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