Abstract
AbstractThe aim of this paper is to prove some new fixed point results for a pair of multivalued dominated locally contractive mappings in b-multiplicative metric space. Further, fixed point theorems for multigraph-dominated mappings are also established. Some new fixed point results on a closed ball are obtained for a pair of multigraph-dominated mappings endowed with graphic structure in b-multiplicative metric space. An illustrative example is given to show the validity of the hypothesis of our obtained result. Moreover, applications for a coupled system of nonlinear Volterra-type integral equations and functional equations in dynamic programming are presented to show the novelty of our results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference31 articles.
1. Abbas, M., Ali, B., Romaguera, S.: Fixed and periodic points of generalized contractions in metric spaces. Fixed Point Theory Appl. 2013, Paper No. 243 (2013)
2. Acar, Ö., Durmaz, G., Minak, G.: Generalized multivalued F-contractions on complete metric spaces. Bull. Iranian Math. Soc. 40, 1469–1478 (2014)
3. Ali, U., Kamran, T., Kurdi, A.: Fixed point in b-multiplicative metric spaces. UPB Sci. Bull., Ser. A 79(3), 15–20 (2017)
4. Alofi, A.S.M., Al-Mazrooei, A.E., Leyew, B.T., Abbas, M.: Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space. J. Nonlinear Sci. Appl. 10(7), 3456–3476 (2017)
5. Asl, J.H., Rezapour, S., Shahzad, N.: On fixed points of α–ψ contractive multifunctions. Fixed Point Theory Appl. 2012, Paper No. 212 (2012)
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