IJPAM: Volume 109, No. 2 (2016)

SOME REMARKS ON RELATED FIXED POINT THEOREMS

Yumnam Rohen$^1$, P.P. Murthy$^2$
$^1$Department of Mathematics
National Institute of Technology Manipur
Langol 795004, INDIA
$^2$Department of Applied Mathematics
Guru Gasidas University
Koni, Bilaspur (Chhatitisgarh) 495009, INDIA


Abstract. In this paper we present a survey of related fixed point theorems in different spaces starting from the results of Fisher. It also includes results in set valued and implicit functions. Regarding the spaces we include metric space, uniform space, fuzzy metric space, menger space, symmetric space, partial metric space etc. Further, we prove two related fixed point theorems in three metric spaces by considering three set valued mappings.

Received: January 14, 2016

AMS Subject Classification: 47H10, 54H25

Key Words and Phrases: fixed point, common fixed point, related fixed point

Download paper from here.



DOI: 10.12732/ijpam.v109i2.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 2
Pages: 257 - 278


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).