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A GENERAL FIXED POINT THEOREM IN FUZZY METRIC SPACES VIA AN IMPLICIT FUNCTION
Imdad, M.,Ali, Javid Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
We employ the notion of implicit functions to prove a general common fixed point theorem in fuzzy metric spaces besides adopting the idea of R-weak commutativity of type (P) in fuzzy setting. In process, several previously known results are deduced as special cases to our main result.
A general fixed point theorem in fuzzy metric spaces via an implicit function
M. Imdad,Javid Ali 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
We employ the notion of implicit functions to prove a general common fixed point theorem in fuzzy metric spaces besides adopting the idea of R-weak commutativity of type (P) in fuzzy setting. In process, several previously known results are deduced as special cases to our main result. We employ the notion of implicit functions to prove a general common fixed point theorem in fuzzy metric spaces besides adopting the idea of R-weak commutativity of type (P) in fuzzy setting. In process, several previously known results are deduced as special cases to our main result.
Mohammad Imdad,Waleed M. Alfaqih 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.1
The aim of this paper is to prove some unified common fixed point theoremsunder contractive conditions of integral type for two pairs of weakly compatible mappings satisfying the property (E.A) in complex valued symmetric spaces using an implicit relation. Some illustrative examples are also given which substantiate the usefulness of our utilized implicit relation. Our results generalize and improve some of the existing results in theliterature and at the same time deduce new contractions of integral type in the context of complex fixed point theory. We apply one of our results to examine the existence and uniqueness of common solution for a system of Volterra-Hammerstein integral equations.
( Javid Ali ),( V. Popa ),( M. Imdad ) 호남수학회 2016 호남수학학술지 Vol.38 No.2
In this paper, we utilize an implicit relation to improve and extend some strict common fixed point results of the existing literature to two pairs of hybrid mappings in 2-metric spaces via altering distances. As an application, we also prove some strict common fixed point theorems for hybrid pairs of mappings satisfy- ing a contractive condition of integral type in 2-metric spaces.