Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

A fixed point theorem on multiplicative metric space with integral-type inequality

Loading...
Thumbnail Image

Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Journal Mathematics & Computer Science-Jmcs

Open Access Color

OpenAIRE Downloads

OpenAIRE Views

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In this paper, we prove fixed point theorems (FPTs) on multiplicative metric space (MMS) (X, triangle) by the help of integral-type contractions of self-quadruple mappings (SQMs), i.e., for p(1), p(2), p(3), p(4) : X -> R. For this, we assume that the SQMs are weakly compatible mappings and the pairs (p(1), p(3)) and (p(2), p(4)) satisfy the property (CLRp3p4). Further, two corollaries are produced from our main theorem as special cases. The novelty of these results is that for the unique common fixed point (CFP) of the SQMs p(1), p(2), p(3), p(4), we do not need to the assumption of completeness of the MMS (X, triangle). These results generalize the work of Abdou, [A. A. N. Abdou, J. Nonlinear Sci. Appl., 9 (2016), 2244-2257], and many others in the available literature.

Description

Keywords

Multiplicative Metric Space, Fractional Integral Inequalities, Fixed Point Theorems

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Khan, Aziz...et al. (2018). "A fixed point theorem on multiplicative metric space with integral-type inequality", Journal of Mathematics and Computer Science-Jmcs, Vol. 18, No. 1, pp. 18-28.

WoS Q

Scopus Q

Source

Journal of Mathematics and Computer Science-Jmcs

Volume

18

Issue

1

Start Page

18

End Page

28