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

• Autorzy: Nashine H. K. , Agarwal R. P. , Shukla S. , Gupta A.

Identyfikatory

DOI

10.1515/fascmath-2017-0009

• Języki publikacji: EN

Abstrakty

EN

We propose a new notion of multi-valued almost (GF, δ_b)-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.

Słowa kluczowe

EN

almost contraction; multivalued mapping; b-Metric space; F-contraction; partial order

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2017
• Tom: Nr 58
• Strony: 123--143
• Opis fizyczny: Bibliogr. 26 poz.

Twórcy

autor

Nashine H. K.

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

autor

Agarwal R. P.

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

autor

Shukla S.

• Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Indore (M.P.) 453331, India

autor

Gupta A.

• Department of Mathematics, Dr C.V.Raman University, Bilaspur, Chhattisgarh, India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).