On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations

On Common Fixed Point Results for New Contractions with Applications to Graph and Integral Equations

The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the <inline-formula> <math di...

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Bibliographic Details
Main Authors: Haitham Qawaqneh, Mohd Salmi Noorani, Hassen Aydi, Wasfi Shatanawi
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
admissibility
contraction
graph
functional equation
Online Access:https://www.mdpi.com/2227-7390/7/11/1082
Description
Summary:The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the <inline-formula> <math display="inline"> <semantics> <mi>&#945;</mi> </semantics> </math> </inline-formula>-admissibility with regard to <inline-formula> <math display="inline"> <semantics> <mi>&#951;</mi> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mi>&#952;</mi> </semantics> </math> </inline-formula>-functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.
ISSN:2227-7390

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