Open AccessDissertation
Fixed Points for Multivalued Mappings and the Metric Completeness = จุดตรึงสำหรับการส่งหลายค่าและความบริบูรณ์เชิงเมตริก / Hatairat Yingtaweesittikul
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In this paper, the equivalence of the existence of fixed points of single-valued mappings and multivalued mappings for some classes of mappings was studied and some equivalence theorems for the completeness of metric spaces were proved.Abstract:
We consider the equivalence of the existence of fixed points of single-valued mappings and multivalued mappings for some classes of mappings by proving some equivalence theorems for the completeness of metric spaces.read more
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Common fixed points for $C^{*}$-algebra-valued modular metric spaces via $C_{*}$-class functions with application
TL;DR: Based on the concept and properties of $C^{*}$-algebras, the authors introduced a concept of class functions and used these functions in modular metric spaces to establish common fixed point theorems for self-mappings.
Journal ArticleDOI
On the characterization of metric spaces completeness through set-valued mapping
TL;DR: In this paper, necessary and sufficient conditions for a metric space to be complete through existence fixed points for set-valued mapping are given. But these conditions depend on the metric space itself.
Dissertation
Metric Fixed Point Theorems for Single-valued and Multi-valued Mappings
TL;DR: In this paper, the authors established existence and uniqueness theorems regarding fixed points, coincidence points and common fixed points of single-valued and multi-valued mappings in connection with contractive type inequalities in complete metric spaces and generalized metric spaces.
Journal Article
Fixed point theorem of a pair of multivalued mappings satisfying special type of contractive condition
TL;DR: In this article, the authors established a common fixed point theorem of mutivalued mapping in partial metric space and showed that it is possible to obtain a fixed point in the metric space.
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Generalization of a fixed point theorem of Suzuki type in complete convex space
Savita Gupta,Rakesh Tiwari +1 more
TL;DR: In this paper, the authors generalize a fixed point theorem given by Popescu and extend it to a generalized Banach contraction principle that characterizes metric completeness, and furnish an example to validate their result.
References
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Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
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Blow-up of semilinear PDE's at the critical dimension. A probabilistic approach
TL;DR: In this paper, a probabilistic approach is presented to prove blow-up of solutions of the Fujita equation ∆w/∂t = -(-Δ) α/2 w + w 1+β in the critical dimension d = α/β.
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Some results on fixed points - II
TL;DR: Some results on fixed points were discussed in this article, where the authors proposed a method for computing fixed points in a fixed point set, using fixed points as the fixed point function.
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A generalized Banach contraction principle that characterizes metric completeness
TL;DR: The Meir-Keeler fixed point theorem as discussed by the authors is a simple generalization of the Banach contraction principle and characterizes the metric completeness of the underlying space, and it can be seen as a special case of the fixed-point theorem.