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Symmetry 2019, 11(1), 86; https://doi.org/10.3390/sym11010086

Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

1
Department of Mathematics, Taiz University, Taiz, Yemen
2
Department of Mathematics, International Islamic University, H-10, Islamabad 44000, Pakistan
3
Imam Abdulrahman Bin Faisal University, Department of Mathematics, College of Education in Jubail, P.O. 12020, Industrial Jubail 31961, Saudi Arabia
4
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
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
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Abstract

In this paper, we initiate the notion of generalized multivalued ( α K * , Υ , Λ ) -contractions and provide some new common fixed point results in the class of α K -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. View Full-Text
Keywords: fixed point; triangular α K * -orbital admissible mappings; partial b-metric space; multivalued contraction mapping; functional equation; nonlinear matrix equation fixed point; triangular α K * -orbital admissible mappings; partial b-metric space; multivalued contraction mapping; functional equation; nonlinear matrix equation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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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.

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