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

• Autorzy: Hemant Kumar Nashine , Ravi P. Agarwal , Zoran Kadelburg
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Almost contraction; Multivalued mapping; b-metric space; F -contraction; Integral inclusion equation

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 45B99: None of the above, but in this section
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1053-1064

Daty

wydano

2016-01-01

otrzymano

2016-03-22

zaakceptowano

2016-11-15

online

2016-12-31

Twórcy

autor

Hemant Kumar Nashine

• Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas,
• Department of Mathematics, Amity School of Applied Sciences, Amity University, Chhattisgarh, Raipur - 493225, Chhattisgarh,

autor

Ravi P. Agarwal

• Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas,

autor

Zoran Kadelburg

• University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Beograd,

Identyfikatory

DOI

10.1515/math-2016-0092