Abstract
AbstractThe purpose of this paper is to introduce the class of multi-valued operators by the technique of interpolation of operators. Our results extend and generalize several results from the existing literature. Moreover, we also study the data dependence problem of the fixed point set and Ulam–Hyers stability of the fixed point problem for the operators introduced herein. Moreover, as an application, we obtain a homotopy result.
Publisher
Springer Science and Business Media LLC
Reference46 articles.
1. Abbas, M.; Anjum, R.; Berinde, V.: Enriched multivalued contractions with applications to differential inclusions and dynamic programming. Symmetry 13(8), 1350 (2021). https://doi.org/10.3390/sym13081350
2. Abbas, M.; Anjum, R.; Berinde, V.: Equivalence of certain iteration processes obtained by two new classes of operators. Mathematics 9(18), 2292 (2021). https://doi.org/10.3390/math9182292
3. Agarwal, R.P.; Karapinar, E.: Interpolative Rus–Reich–Ćirić type contractions via simulation functions. An. St. Univ. Ovidius Constanta Ser. Mat. 27(3), 137–152 (2019)
4. Anjum, R.; Abbas, M.: Fixed point property of a nonempty set relative to the class of friendly mappings. RACSAM 116(1), 1–10 (2022). https://doi.org/10.1007/s13398-021-01158-5
5. Anjum, R.; Abbas, M.: Common fixed point theorem for modified Kannan enriched contraction pair in Banach spaces and its applications. J. Filomat 35(8), 2485–2495 (2021). https://doi.org/10.2298/FIL2108485A
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