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Fixed‐Point Theorems for Multivalued Mappings in Modular Metric Spaces

نظريات النقاط الثابتة للمخططات متعددة القيم في المساحات المترية المعيارية
Authors: Parin Chaipunya; Chirasak Mongkolkeha; Wutiphol Sintunavarat; Poom Kumam;

Fixed‐Point Theorems for Multivalued Mappings in Modular Metric Spaces

Abstract

We give some initial properties of a subset of modular metric spaces and introduce some fixed‐point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

Keywords

Cone Metric Spaces, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Fixed-point theorem, Internal medicine, Biology, Set-valued maps in general topology, Modular design, Ecology, Fixed-point and coincidence theorems (topological aspects), Fixed Point Theorems, Pure mathematics, Fixed point, Discrete mathematics, Multi-valued Mappings, Computer science, Coincidence point, Operating system, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Metric space, Type (biology), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Average
gold