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Remarks on Occasionally Weakly Compatible Maps Versus Occasionally Weakly Compatible Maps

open access: yesDemonstratio Mathematica, 2014
Abstract . In this paper, we discuss some important and interesting remarks on the concept of occasionally weakly compatible (owc) mappings, which is an active and interesting area of research in the present era. Also, we discuss here the lapses of several authors in quoting the definition of owc maps and provide the corrected proof by ...
Deepmala, Pathak H. K.
openaire   +3 more sources

A unique common fixed point theorem for occasionally weakly compatible maps [PDF]

open access: yesSurveys in Mathematics and its Applications, 2008
Summary: The aim of this paper is to establish a unique common fixed point theorem for two pairs of occasionally weakly compatible single and multi-valued maps in a metric space. This result improves the result of \textit{D. Türkoğlu, O. Özer} and \textit{B. Fisher} [Math. Commun. 7, No. 1, 39--44 (2002; Zbl 1016.54022)].
Hakima Bouhadjera   +2 more
openaire   +2 more sources

Common fixed point theorem for occasionally weakly compatible mappings in Menger space [PDF]

open access: yesSurveys in Mathematics and its Applications, 2011
Summary: The concept of occasionally weakly compatible (shortly, owc) mappings introduced by \textit{M. A. Al-Thagafi} and \textit{N. Shahzad} [Acta Math. Sin., Engl. Ser. 24, No. 5, 867--876 (2008; Zbl 1175.41026)], which is more general than the concept of weakly compatible maps.
B.D. Pant, Sunny Chauhan
openaire   +2 more sources

Teorema de punto fijo común para funciones ocasionalmente débilmente compatibles satisfaciendo una condición contractiva con alteración de distancia

open access: yesNOVASINERGIA, 2022
This paper aims to establish conditions that guarantee the existence and uniqueness of a common fixed point for a pair of functions defined on a metric space, satisfying a type of contractive inequality involving distance-altering functions.
Orlin Rivas, Wilmer Barrera
doaj   +1 more source

Occasionally Weakly Compatible Mappings [PDF]

open access: yesTurkish Journal of Analysis and Number Theory, 2016
In this paper, the concept of compatible maps of type (A) and occasionally weakly compatible maps in fuzzy metric space have been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of compatible maps of type (A) and occasionally weakly compatible maps, which generalizes the result
Amit Kumar Govery, Mamta Singh
openaire   +1 more source

WEAKLY BIASED MAPS AS A GENERALIZATION OF OCCASIONALLY WEAKLY COMPATIBLE MAPS [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2014
In this paper, we characterize the notion of weakly biased maps as a generalization of occasionally weakly compatible(owc) maps and establish common fixed point theorems for two pairs of weakly biased (resp. of type (A)) by using property (E.A.), without appealing continuity and completeness of space. The results improve and extend Theorem 2.11 in [12]
P.P. Murthy, M.R. Singh, L.S. Singh
openaire   +1 more source

FIXED POINTS OF OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS USING IMPLICIT RELATION [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2012
In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts.
Badri Datt Pant, Sunny Chauhan
openaire   +1 more source

Common Fixed Points of Generalized Contractive Hybrid Pairs in Symmetric Spaces

open access: yesFixed Point Theory and Applications, 2009
Several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps satisfying generalized contractive conditions are established in a symmetric space.
Abdul Rahim Khan, Mujahid Abbas
doaj   +2 more sources

On coincidence and fixed-point theorems in fuzzy symmetric spaces [PDF]

open access: yesJournal of Hyperstructures, 2012
In this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self ...
T. K. Samanta   +4 more
doaj   +1 more source

Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type

open access: yesFixed Point Theory and Applications, 2007
We obtain several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps defined on a symmetric space satisfying a contractive condition of integral type.
B. E. Rhoades, Mujahid Abbas
doaj   +2 more sources

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