Solution to Fredholm integral inclusions via ( F, δ b )-contractions

Hemant Kumar Nashine; Ravi P. Agarwal; Zoran Kadelburg

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 1053-1064
  • ISSN: 2391-5455

Abstract

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We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.

How to cite

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Hemant Kumar Nashine, Ravi P. Agarwal, and Zoran Kadelburg. "Solution to Fredholm integral inclusions via ( F, δ b )-contractions." Open Mathematics 14.1 (2016): 1053-1064. <http://eudml.org/doc/288036>.

@article{HemantKumarNashine2016,
abstract = {We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.},
author = {Hemant Kumar Nashine, Ravi P. Agarwal, Zoran Kadelburg},
journal = {Open Mathematics},
keywords = {Almost contraction; Multivalued mapping; b-metric space; F -contraction; Integral inclusion equation; almost contraction; multivalued mapping; -contraction; integral inclusion equation},
language = {eng},
number = {1},
pages = {1053-1064},
title = {Solution to Fredholm integral inclusions via ( F, δ b )-contractions},
url = {http://eudml.org/doc/288036},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Hemant Kumar Nashine
AU - Ravi P. Agarwal
AU - Zoran Kadelburg
TI - Solution to Fredholm integral inclusions via ( F, δ b )-contractions
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1053
EP - 1064
AB - We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
LA - eng
KW - Almost contraction; Multivalued mapping; b-metric space; F -contraction; Integral inclusion equation; almost contraction; multivalued mapping; -contraction; integral inclusion equation
UR - http://eudml.org/doc/288036
ER -

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