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http://dx.doi.org/10.11568/kjm.2022.30.2.205

COMMON FIXED POINT THEOREMS FOR COMPLEX-VALUED MAPPINGS WITH APPLICATIONS  

Maldar, Samet (Department of Mathematics, Aksaray University)
Atalan, Yunus (Department of Mathematics, Aksaray University)
Publication Information
Korean Journal of Mathematics / v.30, no.2, 2022 , pp. 205-229 More about this Journal
Abstract
The aim of this paper is to obtain some results which belong to fixed point theory such as strong convergence, rate of convergence, stability, and data dependence by using the new Jungck-type iteration method for a mapping defined in complex-valued Banach spaces. In addition, some of these results are supported by nontrivial numerical examples. Finally, it is shown that the sequence obtained from the new iteration method converges to the solution of the functional integral equation in complex-valued Banach spaces. The results obtained in this paper may be interpreted as a generalization and improvement of the previously known results.
Keywords
convergence; stability; data dependence; iteration method; functional-integral equation;
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