Common Fixed Point of Two L 2 Operators with Convergence Analysis and Application

Cristina Calineata, Cristian Ciobanescu and Teodor Turcanu ()
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Cristina Calineata: Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Cristian Ciobanescu: Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Teodor Turcanu: Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania

Mathematics, 2023, vol. 11, issue 3, 1-11

Abstract: This article introduces a new numerical algorithm for approximating the solution of the common fixed point problem for two operators defined on CAT ( 0 ) spaces, belonging to the class L 2 , which was very recently introduced. The main results refer to Δ and strong convergence of the sequence generated by the new algorithm. A distinct feature of the adopted approach is the use of equivalent sequences.

Keywords: common fixed point; nonexpansive mappings; ?-convergence; CAT(0) space; L 2 mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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