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Article

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Title

Some fixed point theorems for almost (GF, δb)-contractions and application

Authors

Year of publication

2017

Published in

Fasciculi Mathematici

Journal year: 2017 | Journal number: nr 58

Article type

scientific article

Publication language

english

Keywords
EN
  • almost contraction
  • multivalued mapping
  • b-Metric space
  • F-contraction
  • partial order
Abstract

EN We propose a new notion of multi-valued almost (GF, δb)-contractions involving rational terms under δ-distance on b-metric spaces and give its relevance to fixed point results in orbitally complete b-metric spaces. An ordered version of our main result is also proved with some weaker contractive conditions. Some examples are given to show the usability of the results proved herein. Moreover, application of our result to the nonlinear integral equation is given.

Pages (from - to)

123 - 143

DOI

10.1515/fascmath-2017-0009

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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public

Ministry points / journal

10

Ministry points / journal in years 2017-2021

10

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