Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications
Department of Mathematics, Taiz University, Taiz, Yemen
Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
Imam Abdulrahman Bin Faisal University, Department of Mathematics, College of Education in Jubail, P.O. 12020, Industrial Jubail 31961, Saudi Arabia
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia
Author to whom correspondence should be addressed.
Received: 4 December 2018 / Revised: 2 January 2019 / Accepted: 7 January 2019 / Published: 14 January 2019
In this paper, we initiate the notion of generalized multivalued
-contractions and provide some new common fixed point results in the class of
-complete partial b
-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.
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Ameer, E.; Aydi, H.; Arshad, M.; Alsamir, H.; Noorani, M.S. Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications. Symmetry 2019, 11, 86.
Ameer E, Aydi H, Arshad M, Alsamir H, Noorani MS. Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications. Symmetry. 2019; 11(1):86.
Ameer, Eskandar; Aydi, Hassen; Arshad, Muhammad; Alsamir, Habes; Noorani, Mohd S. 2019. "Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications." Symmetry 11, no. 1: 86.
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