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Multi-valued versions of Nadler, Banach, Branciari and Reich fixed point theorems in double controlled metric type spaces with applications
Journal article   Open access  Peer reviewed

Multi-valued versions of Nadler, Banach, Branciari and Reich fixed point theorems in double controlled metric type spaces with applications

Waseem Ahmad, Muhammad Sarwar, Thabet Abdeljawad, Gul Rahmat and 2 Department of Mathematics and General Sciences, Price Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
AIMS mathematics, Vol.6(1), pp.477-499
01/01/2021
DOI: https://doi.org/10.3934/math.2021029

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In the current work, the multi-valued version of well-known theorems of Nadler, Banach, Branciari and Reich are generalized to the scope of double controlled metric space. A double controlled metric space is a metric type space in which the right hand side of the triangle inequality is controlled by two functions. Furthermore, applications to existence of solution to Volterra integral inclusions and singular Fredholm integral inclusions of are obtained.
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https://doi.org/10.3934/math.2021029View
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