http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process
Yunus Atalan,Vatan Karakaya 강원경기수학회 2019 한국수학논문집 Vol.27 No.4
In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give non-trivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.
COMMON FIXED POINT THEOREMS FOR COMPLEX-VALUED MAPPINGS WITH APPLICATIONS
Maldar, Samet,Atalan, Yunus The Kangwon-Kyungki Mathematical Society 2022 한국수학논문집 Vol.30 No.2
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.