• editor.aipublications@gmail.com
  • Track Your Paper
  • Contact Us
  • ISSN: 2456-866X
NAAS Journal 2026

International Journal Of Chemistry, Mathematics And Physics(IJCMP)

  1. Home
  2. IJCMP
  3. Vol-9,Issue-4, October - December 2025
  4. Existence of common fixed point for some generalized non-expansive mappings in b-metric space

For Authors

olcc worldcat dimensions-ai microsoft-academic-search ijcmp doi
Author Guidelines Peer Review Process Plagiarism Policy Publication Ethics and Publication Malpractice Statement Editorial Board Call for Papers Publication Process Topics of Interest Track Status of Paper

Issues

Current Archive

Downloads

Download Certificate Paper Format Copyright Form

Indexing and Abstracting

aipublications google scholar aipublications academia Scilit logo Tyndale Library WorldCat indiana Library WorldCat

Existence of common fixed point for some generalized non-expansive mappings in b-metric space

Phyong Il Hong


International Journal of Chemistry, Mathematics And Physics(IJCMP), Vol-9,Issue-4, October - December 2025, Pages 8-12 , 10.22161/ijcmp.9.4.2

Download | Downloads : 3 | Total View : 758

Article Info: Received: 02 Sep 2025; Received in revised form: 30 Sep 2025; Accepted: 07 Oct 2025; Available online: 11 Oct 2025

Share

The concept of metric space or b-metric space plays a significant role in proving the existence theorem of solutions of differential equations or integral equations. A b-metric space is a generalization of a metric space. In this paper, we propose a generalization of non-expansive maps and investigate the conditions under which these maps have a common fixed point in b-metric spaces, and give examples illustrating our results. Our results are a generalization of some previous results.

fixed point, b-metric space, generalized non-expansive mapping, common fixed point

[1] Wong C.S., 1973. Common fixed points of two mappings, Pacific J. Math.,48, 299-312.
[2] Dukic D, Kadelburg Z, Radenovi´c S., 2011, Fixed points of Geraghty-type mappings in various generalized metric spaces. Abstr. Appl. Anal. 2011, 561245.
[3] Dosenovi’c T, Pavlovi’c M, Radenovi’c S., 2017. Contractive conditions in b-metric spaces. Vojnotehnicki Glasnik/Mil. Tech. Cour. 65, 851–865. [CrossRef]
[4] Faraji H, Nourouzi K., 2017. A generalization of Kannan and Chatterjea fixed point theorems on complete b-metric spaces. Sahand Commun. Math. Anal., 6, 77–86.
[5] Hardy G, Rogers T., 1973. A generalization of a fixed point theorem of Reich. Canad. Math.Bull. 16, 201-206.
[6] Huaping H., 2018. Fixed point theorems in b-metric spaces with applications to differential equations. J. Fixed Point Theory Appl, 1–24.
[7] Ilchev A, Zlatanov B., 2016. On Fixed Points for Reich Maps in b-Metric Spaces; Annual of Konstantin Preslavski University of Shumen. Faculty of Mathematics and Computer Science VI: Shumen, Bulgaria, 77–88.
[8] Pramila S, Vijay K.G., 1971. A note on common fixed points. Yokohama Math. J. 19, 91-95.
[9] Radu M, Alxandru M., 2017. New fixed point theorems for set-valued contractions in b-metric spaces. J. Fixed Point Theory Appl, 19, 2153-2163.
[10] Kannan R., 1969. Some results on fixed points II. Amer. Math. Monthly 76, 405-408.
[11] Simon R., 1971. Some remarks concerning contraction mappings. Canad. Math. Bull. 14, 121-124.

aipub drij aipub scribd internet archive research bib scilit indiana tynd rootindexing aipub pdfsr aipub cite factor aipub issuu aipub wikicfp aipub google aipub slideshare aipub reddit aipub digg aipub tumblr aipub plurk aipub yudu Active Search Results
© 2021 AI Publications | All Rights Reserved