The class of (α,ψ)-type contractions in b-metric spaces and fixed point theorems

Bessem Samet

doi:10.1186/s13663-015-0344-z

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The class of (α,ψ)-type contractions in b-metric spaces and fixed point theorems

Journal article

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The class of (α,ψ)-type contractions in b-metric spaces and fixed point theorems

Bessem Samet

Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-17

19/06/2015

DOI: https://doi.org/10.1186/s13663-015-0344-z

Abstract

Analysis

Applications of Mathematics

Differential Geometry

general

Mathematical and Computational Biology

Mathematics

Mathematics and Statistics

Topology

We study the existence and uniqueness of fixed points for self-operators defined in a b -metric space and belonging to the class of ( α , ψ ) -type contraction mappings. The obtained results generalize and unify several existing fixed point theorems in the literature.

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Title: The class of (α,ψ)-type contractions in b-metric spaces and fixed point theorems
Creators - without role: Bessem Samet - King Saud University
Publication Details: Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-17
Publisher: Springer International Publishing
Identifiers: 9949531008331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article