Păcurar, M. & Rus, I.A. (2022) Journal of Fixed Point Theory and Applications [Matematică, Q2]

Publicat: 25 Noiembrie 2022

Păcurar, M. & Rus, I.A. (2022) Fixed point theory of cyclic operators. Journal of Fixed Point Theory and Applications, 24, 79.

DOI: https://doi.org/10.1007/s11784-022-00996-z

✓ Publisher: Springer
✓ Web of Science Categories: Mathematics; Mathematics, Applied
✓ Article Influence Score (AIS): 0.628 (2022) / Q2 in all categories.

Abstract: In this paper, we present new variants of some known fixed point theorems and new fixed point results for cyclic operators on ordered sets, on distance spaces, and on ordered distance spaces. Some results in terms of the fixed point structures are also presented. Our results include existence, uniqueness, convergence of successive approximations, well posedness of fixed point problems and the Ostrowsky property. We also identify some of the main research directions regarding cyclic operators and formulate several open problems for each of them.

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