Results pertaining to fixed points in ordered metric spaces with auxiliary functions and application to integral equation-Reference-Cited by-同舟云学术

Results pertaining to fixed points in ordered metric spaces with auxiliary functions and application to integral equation

Published:2024 Issue:5 Volume:9 Page:10832-10857
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Rao N. Seshagiri¹,Aloqaily Ahmad²³,Mlaiki Nabil²

Affiliation:

1. Department of Mathematics and Statistics, School of Applied Science and Humanities, Vignan's Foundation for Science, Technology and Research, Vadlamudi, Guntur, Andhra Pradesh 522213, India; seshu.namana@gmail.com

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; nmlaiki2012@gmail.com

3. School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia; maloqaily@psu.edu.sa

Abstract

<abstract><p>This paper delves into fixed point findings within a complete partially ordered $ b $-metric space, focusing on mappings that adhere to weakly contractive conditions in the presence of essential topological characteristics. These findings represent modifications of established results and further extend analogous outcomes in the existing literature. The conclusions are substantiated by illustrative examples that strengthen the conclusion of the paper.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference49 articles.

1. I. A. Bakhtin, The contraction principle in quasimetric spaces, Anal. Ulianowsk Gos. Fed. Inst., 30 (1989), 26–37.

2. S. Czerwik, Contraction mappings in $b$-metric spaces, Acta Math. Inf. Univ. Ostrav., 1 (1993), 5–11.

3. M. Abbas, B. Ali, T. Nazir, N. Dedović, B. Bin-Mohsin, S. Radenović, Solutions and Ulam-Hyers stability of differential inclusions involving Suzuki type multivalued mappings on $b$-metric spaces, Vojnoteh. Glas. Mil. Tech. Cour., 68 (2020), 438–487. https://doi.org/10.5937/vojtehg68-26718

4. S. Aleksić, H. Huang, Z. D. Mitrović, S. Radenović, Remarks on some fixed point results in $b$-metric spaces, J. Fixed Point Theory Appl., 20 (2018), 147. https://doi.org/10.1007/s11784-018-0626-2

5. S. Aleksić, Z. D. Mitrović, S. Radenović, On some recent fixed point results for single and multi-valued mappings in $b$-metric spaces, Fasc. Math., 61 (2018), 5–16.

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