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Article


Title

A general fixed point theorem for hybrid pairs of mappings satisfying a new type of limit range property

Authors

Year of publication

2018

Published in

Fasciculi Mathematici

Journal year: 2018 | Journal number: nr 61

Article type

scientific article

Publication language

english

Keywords
EN
  • coincidence point
  • fixed point
  • hybrid pairs
  • multi-valued mappings
  • common limit range property
  • strict tangential property
  • altering distance
  • implicit relation
Abstract

EN In this paper a new type of common limit range property is introduced, which generalizes the notion of strongly tangential property [9] and joint common limit range property [16]. A general fixed point theorem for two pairs of hybrid mappings involving altering distance and satisfying an implicit relation is proved, generalizing the results from [9], [16] and other papers. As application, we obtain new results for contractive mappings satisfying a contractive condition of integral type, for mappings satisfying ф - contractive conditions and satisfying (ψ, ф) - contractive conditions.

Pages (from - to)

143 - 162

DOI

10.1515/fascmath-2018-0023

License type

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

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Access level to full text

public

Points of MNiSW / journal

10.0

Points of MNiSW / journal in years 2017-2021

10.0

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