Results 21 to 30 of about 389 (61)
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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Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
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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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Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
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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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Revisiting of some outstanding metric fixed point theorems via E-contraction
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
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Common stationary points of multivalued mappings on bounded metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 773-779, 2000., 2000 Necessary and sufficient conditions for the existence of common stationary points of two multivalued mappings and common stationary point theorems for multivalued mappings on bounded metric spaces are given. Our results extend the theorems due to Fisher in 1979, 1980, and 1983 and Ohta and Nikaido in 1994.
Zeqing Liu, Shin Min Kang
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