Results 91 to 100 of about 578,070 (245)
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
International Journal of Mathematics and Mathematical Sciences, 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.
Sehie Park
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, 2014 In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the ...
Shaoyuan Xu, S. Radenović
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C∗-algebra-valued metric spaces and related fixed point theorems
, 2014 Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces.
Zhenhua Ma, Lining Jiang, Hongkai Sun
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Common fixed point theorems for compatible mappings
International Journal of Mathematics and Mathematical Sciences, 1996 By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş +2 more
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Extended Fuzzy Metrics and Fixed Point Theorems
Mathematics, 2019 In this paper, we study those fuzzy metrics M on X, in the George and Veeramani’s sense, such that ⋀ t > 0 M ( x , y , t ) > 0 . The continuous extension M 0 of M to X 2 × 0 , + ∞ is called extended
Valentín Gregori +2 more
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Proceedings of the American Mathematical Society, 1957 Barrett O'Neill, Ernst Straus
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Fixed Point Theorems for Asymptotically Contractive Multimappings
International Journal of Mathematics and Mathematical Sciences, 2012 We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions.
M. Djedidi, K. Nachi
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A fixed point theorem for pseudo-arcs and certain other metric continua [PDF]
, 1951 O. H. Hamilton
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A fixed-point theorem of Krasnoselskii
Applied Mathematics Letters, 1998 Krasnosel'skij's fixed-point theorem asks for a convex set \(M\) and a mapping \(Pz=Bz+Az\) such that (i) \(Bx+Ay\in M\) for each \(x,y\in M\), (ii) \(A\) is continuous and compact, (iii) \(B\) is a contraction. Then \(P\) has a fixed point. A careful reading of the proof reveals that (i) need only ask that \(Bx+Ay\in M\) when \(x=Bx+Ay\).
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