Author:
Ameer Eskandar,Arshad Muhammad,Hussain Nawab
Abstract
Abstract
The aim of this paper is to introduce the concept of generalized multivalued $$\left( \varUpsilon ,\varLambda \right) $$Υ,Λ-contractions and generalized multivalued $$\left( \varUpsilon ,\varLambda \right) $$Υ,Λ
-Suzuki contractions and introduce some new common fixed point results for such maps in complete b-metric spaces. Our results are an improvement of the Liu et al. fixed point theorem and several comparable results in the existing literature.
We set up an example to elucidate our main result. Moreover, we also discuss an application to existence of solution for system of functional equations.
Publisher
Springer Science and Business Media LLC
Reference32 articles.
1. Banach, S.: Sur les opérations dans les ensembles abstraits et leur application aux equations itegrales. Fund. Math. 3, 133–181 (1922)
2. Berinde, V.: Generalized Contractions and Applications, vol. 22. Editura Cub Press, Baia Mare (1997)
3. Jleli, M. Samet, B.: A new generalization of the Banach contraction principle. J. Inequal. Appl. 2014, Article ID 38 (2014)
4. Jleli, M., Karapinar, E., Samet, B.: Further generalizations of the Banach contraction principle. J. Inequal. Appl. 2014, 439 (2014)
5. Vetro, F.: A generalization of Nadler fixed point theorem. Carpathian J. Math. 31, 403–410 (2015)
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