Some fixed point results for multi-valued mappings in b-metric spaces
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In this article, the fixed point theorems for set-valued mappings in the context of b-metric spaces were established and generalized to the case of fixed point spaces.Abstract:
The aim of this paper is to establish some fixed point theorems for set-valued mappings in the context of b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature. An example is also given to support our main result. MSC: 46S40, 47H10, 54H25.read more
Citations
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Fixed Points of Generalized -Suzuki Type Contraction in Complete -Metric Spaces
TL;DR: In this paper, the authors introduce the notion of generalized -Suzuki type contraction in -metric spaces and investigate the existence of fixed points of such mappings, which generalize and improve several results of the topics in the literature.
Dissertation
Fixed Points for Multivalued Mappings and the Metric Completeness = จุดตรึงสำหรับการส่งหลายค่าและความบริบูรณ์เชิงเมตริก / Hatairat Yingtaweesittikul
TL;DR: 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.
Journal ArticleDOI
A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces
TL;DR: The aim of this short survey is to collect and combine basic notions and results in the fixed point theory in the context of $b$-metric spaces and show that there are still enough rooms for several researchers in this interesting direction and a huge application potential.
Journal ArticleDOI
Some extensions for Geragthy type contractive mappings
TL;DR: In this article, the fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b-metric-like spaces are established.
Journal ArticleDOI
Common fixed point results on an extended b-metric space.
TL;DR: The existence of common fixed points of a certain mapping in the frame of an extended b-metric space is investigated and a number of well-known fixed point theorems in the literature are covered.
References
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Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
Contraction mappings in $b$-metric spaces
TL;DR: In this article, a generalization of Banach's fixed point theorem in so-called b-metric spaces is presented, where the convergence of measurable functions with respect to measure leads to a generalisation of the notion of metric.
Journal ArticleDOI
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.