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Mathematics 2019, 7(2), 144; https://doi.org/10.3390/math7020144

ON H+Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces

1
Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
2
Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, Industrial Jubail 31961, Saudi Arabia
3
Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 29 December 2018 / Revised: 30 January 2019 / Accepted: 30 January 2019 / Published: 3 February 2019
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
Full-Text   |   PDF [303 KB, uploaded 3 February 2019]

Abstract

The main idea in this article is to establish some fixed and common fixed point results for multivalued H + -type contraction mappings in symmetric spaces. New results are accompanied with illustrative examples. An application of the obtained results to probabilistic spaces is presented. View Full-Text
Keywords: (common) fixed point; Hausdorff distance; α-admissibility; α-complete symmetric spaces; probabilistic spaces (common) fixed point; Hausdorff distance; α-admissibility; α-complete symmetric spaces; probabilistic spaces
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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Patle, P.; Patel, D.; Aydi, H.; Radenović, S. ON H+Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces. Mathematics 2019, 7, 144.

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