Split Variational Inclusion Problem and Fixed Point Problem for a Class of Multivalued Mappings in CAT (0) Spaces

Mujahid Abbas, Yusuf Ibrahim, Abdul Rahim Khan and Manuel De la Sen
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Mujahid Abbas: Department of Mathematics, Government College University, Lahore 54000, Pakistan
Yusuf Ibrahim: Department of Mathematics, Sa’adatu Rimi College of Education, Kumbotso Kano, Kano P.M.B. 3218, Nigeria
Abdul Rahim Khan: Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Manuel De la Sen: Institute of Research and Development of Processes, University of The Basque Country, Campus of Leioa (Bizkaia), 48080 Leioa, Spain

Mathematics, 2019, vol. 7, issue 8, 1-14

Abstract: The aim of this paper is to introduce a modified viscosity iterative method to approximate a solution of the split variational inclusion problem and fixed point problem for a uniformly continuous multivalued total asymptotically strictly pseudocontractive mapping in C A T ( 0 ) spaces. A strong convergence theorem for the above problem is established and several important known results are deduced as corollaries to it. Furthermore, we solve a split Hammerstein integral inclusion problem and fixed point problem as an application to validate our result. It seems that our main result in the split variational inclusion problem is new in the setting of C A T ( 0 ) spaces.

Keywords: split variational inclusion problem; fixed point problem; CAT (0) space; total asymptotically strictly pseudocontractive mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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