On fixed proximal pairs of $ E_r $-mappings

Cristina Calineata; Teodor Turcanu; Cristina Calineata; Teodor Turcanu

doi:10.3934/math.20231362

AIMS Mathematics

2023, Volume 8, Issue 11: 26632-26649. doi: 10.3934/math.20231362

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Research article

On fixed proximal pairs of $ E_r $-mappings

Cristina Calineata ,
Teodor Turcanu ^,

National University of Science and Technology POLITEHNICA Bucharest (NUSTPB), Department of Mathematics and Informatics, Splaiul Independentei 313, 060042, Bucharest, Romania

Received: 31 July 2023 Revised: 11 September 2023 Accepted: 12 September 2023 Published: 19 September 2023
MSC : 47H09, 47H10

In this paper we introduce a Garcia-Falset-type of noncyclical mappings and study the convergence of the iterates generated by a Thakur-type iteration scheme to the fixed proximal pairs of the new class of mappings.
- proximal pairs,
- noncyclic mappings,
- Hadamard spaces
Citation: Cristina Calineata, Teodor Turcanu. On fixed proximal pairs of $ E_r $-mappings[J]. AIMS Mathematics, 2023, 8(11): 26632-26649. doi: 10.3934/math.20231362

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Abstract

In this paper we introduce a Garcia-Falset-type of noncyclical mappings and study the convergence of the iterates generated by a Thakur-type iteration scheme to the fixed proximal pairs of the new class of mappings.

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