Existence of a common solution to systems of integral equations via fixed point results-Reference-Cited by-同舟云学术

Existence of a common solution to systems of integral equations via fixed point results

Published:2020-01-01 Issue:1 Volume:18 Page:249-261
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Işık Hüseyin¹,Park Choonkil²

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University , Muş 49250 , Turkey

2. Research Institute for Natural Sciences, Hanyang University , Seoul 04763 , Korea

Abstract

Abstract The goal of this article is to prove some coupled common fixed point results by using weakly increasing mappings with two variables. Several examples indicating the usability are provided. Also, we use the results obtained to demonstrate the existence of a common solution to a system of integral equations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0024/pdf

Reference25 articles.

1. B. C. Dhage, D. O’Regan, and R. P. Agarwal, Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Appl. Math. Stoch. Anal. 16 (2003), 243–248.

2. T. Nazir, S. Silvestrov, and M. Abbas, Common fixed point results of four mappings in ordered partial metric spaces, Waves, Wavelets and Fractals 2 (2016), 46–63.

3. S. L. Singh, R. Kamal, and M. De la Sen, Coincidence and common fixed point theorems for Suzuki type hybrid contractions and applications, Fixed Point Theory Appl. 2014 (2014), 147.

4. S. L. Singh, R. Kamal, M. De la Sen, and R. Chugh, A new type of coincidence and common fixed point theorem with applications, Abst. Appl. Anal. 2014 (2014), 642378.

5. V. I. Opoitsev, Heterogenic and combined-concave operators, Syber. Math. J. 16 (1975), 781–792 (in Russian).

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