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.
@article{bwmeta1.element.doi-10_1515_math-2016-0092,
author = {Hemant Kumar Nashine and Ravi P. Agarwal and Zoran Kadelburg},
title = {Solution to Fredholm integral inclusions via ( F, $\delta$ b )-contractions},
journal = {Open Mathematics},
volume = {14},
year = {2016},
pages = {1053-1064},
zbl = {06675360},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0092}
}
Hemant Kumar Nashine; Ravi P. Agarwal; Zoran Kadelburg. Solution to Fredholm integral inclusions via ( F, δ b )-contractions. Open Mathematics, Tome 14 (2016) pp. 1053-1064. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0092/