A Proper Generalization of Banach Principle for Nadler Type Mappings in Cone b-Metric Spaces Over Banach Algebras

Authors : Faruk DEVELİ, Muttalip ÖZAVŞAR, Stojan RADENOVİC

Pages : 11-18

Doi:10.30931/jetas.510813

View : 14 | Download : 9

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :In this paper, we first consider Nadler type contractions with the generalized Lipschitz constant k holding rinsert ignore into journalissuearticles values(k);<1 instead of rinsert ignore into journalissuearticles values(sk);<1 where rinsert ignore into journalissuearticles values(k); is the spectral radius of k and s≥1 is the coefficient of the underlying cone b-metric spaces over Banach algebras. Then, we prove the corresponding fixed point theorem for such mappings. Finally, we compare our result with one obtained by the case rinsert ignore into journalissuearticles values(sk);<1 by introducing some proper examples.
Keywords : Nadler Mappings, Banach Algebra, Cone b Metric