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Symmetry 2019, 11(1), 40; https://doi.org/10.3390/sym11010040

Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations

1
Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
2
Department of Mathematics and Statistics, Riphah International University, Islamabad 44000, Pakistan
3
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 5 December 2018 / Revised: 20 December 2018 / Accepted: 23 December 2018 / Published: 2 January 2019
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Abstract

The purpose of this paper is to find out fixed point results for a pair of semi α * -dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results with graphic contractions on closed ball for a pair of multi graph dominated mappings on dislocated b-metric space have been established. An application to the existence of unique common solution of a system of integral equations is presented. 2010 Mathematics Subject Classification: 46Txx, 47H04, 47H10; 54H25. View Full-Text
Keywords: fixed point; generalized F-contraction; closed ball; semi α*-dominated multivalued mapping; graphic contractions; application to integral equations fixed point; generalized F-contraction; closed ball; semi α*-dominated multivalued mapping; graphic contractions; application to integral equations
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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Rasham, T.; Shoaib, A.; Hussain, N.; Alamri, B.A.S.; Arshad, M. Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations. Symmetry 2019, 11, 40.

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