Discussion on the fixed point problems with constraint inequalities

In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et al. [J. Fixed Point Theory Appl. 20:26, 2018 ] with weaker conditions. Moreover, we provide...

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Published inJournal of inequalities and applications Vol. 2018; no. 1; pp. 224 - 16
Main Authors Alqahtani, Badr, Lashkaripour, Rahmatollah, Karapınar, Erdal, Hamzehnejadi, Javad
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Comparable metric space
Constraint inequalities
Fixed point
Fixed points (mathematics)
Generalized α-h-ϕ-contractions
Mathematics
Mathematics and Statistics
Comparable metric space
Generalized
-
contractions
Constraint inequalities
Fixed point
Generalized α-h-ϕ-contractions
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Summary:In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et al. [J. Fixed Point Theory Appl. 20:26, 2018 ] with weaker conditions. Moreover, we provide some corollaries and examples show that our main result is a generalization of existing results in the literature.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1025-5834
1029-242X
1029-242X
DOI:10.1186/s13660-018-1818-4