Fixed point results via modified ω-distance and an application to networks communication-Reference-Cited by-同舟云学术

Fixed point results via modified ω-distance and an application to networks communication

Published:2022 Issue:12 Volume:36 Page:4123-4137
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Garai Hiranmoy¹,Nashine Hemant²,Dey Lakshmi³,Ibrahim Rabha⁴

Affiliation:

1. Department of Science and Humanities, Siliguri Government Polytechnic, Darjeeling, West Bengal, India

2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

3. Department of Mathematics, National Institute of Technology Durgapur, India

4. Institute of Electrical and Electronics Engineers (IEEE), Portland, USA

Abstract

In this paper, we establish some fixed point results in quasi-metric structures via modified ?-distance and using one control function, known as Jachymski function. Our results generalize the fixed point result of Alegre and Mar?n [Topology Appl. 203:32-41, 2016], and give an affirmative answer to the natural question of Alegre Gil et al. [Results Math. 74(4):1-9, 2019]. Apart from these, we utilize one of our results to study the solvability of a certain kind of fractal difference equation of networks communication.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference14 articles.

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4. R.M. Bianchinii and M. Grandolfii. Trasformazioni di tipo contrattivo generalizatto in uno spacio metrico. Atti della Accademia Nazionale dei Lincei, 45:212-216, 1969.

5. C. Alegre Gil, E. Karapınar, J.M. Molina, and P.T. Peláez. Revisiting Bianchini and Grandolfi theorem in the context of modified ω-distances. Results Math., 74(4):1-9, 2019.