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General Common Fixed Point Theorems and Applications [PDF]

open access: yesJournal of Applied Mathematics, 2012
The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of Đorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction.
Shyam Lal Singh   +3 more
doaj   +4 more sources

Common fixed point theorems for compatible mappings [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş   +2 more
doaj   +5 more sources

Generalized Common Fixed Point Results with Applications [PDF]

open access: yesAbstract and Applied Analysis, 2014
We obtained some generalized common fixed point results in the context of complex valued metric spaces. Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. Examples are presented to support our results.
Marwan Amin Kutbi   +3 more
doaj   +3 more sources

Common fixed point results for a generalized ( ψ, φ )-rational contraction

open access: yesApplied General Topology, 2023
In this paper, we obtain two common fixed point results for mappings satisfying the generalized (ψ,φ)-contractive type conditions given by a rational expression on a complete metric space.
M. C. Arya, N. Chandra, Mahesh C. Joshi
doaj   +1 more source

Common fixed point theorems for auxiliary functions with applications in fractional differential equation

open access: yesAdvances in Difference Equations, 2021
In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary ...
Ben Wongsaijai   +3 more
doaj   +1 more source

Ćirić-Type Operators and Common Fixed Point Theorems

open access: yesMathematics, 2022
In the context of a complete metric space, we will consider the common fixed point problem for two self operators. The operators are assumed to satisfy a general contraction type condition inspired by the Ćirić fixed point theorems.
Claudia Luminiţa Mihiţ   +2 more
doaj   +1 more source

Common Fixed Points of Commuting Mappings [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Let X X be a dendroid and S S an abelian semigroup of continuous monotone self-mappings of X X . A point x ϵ X x\epsilon X is fixed under S S if g ( x ) = x g(x) = x for all
Gray, William J., Smith, Carol M.
openaire   +2 more sources

An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions

open access: yesMathematics, 2022
In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces.
Rajagopalan Ramaswamy   +4 more
doaj   +1 more source

On Characterizations of Fixed and Common Fixed Points

open access: yesJournal of Mathematical Analysis and Applications, 1998
The authors introduce the concept of \(L\)-mapping which is equivalent to the concept of \(C\)-mapping introduced by \textit{S. Zhang} [Proc. Am. Math. Soc. 97, 343-346 (1986; Zbl 0593.54045)] and establish criteria for the existence of fixed points of \(L\)-mappings.
Liu, Zeqing, Xu, Yuguang, Cho, Yeol Je
openaire   +2 more sources

On common fixed point theorems [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1977
The aim of this paper is to extend a recent result of S.A. Husain and V.M. Sehgal [Bull. Austral. Math. Soc. 13 (1975), 261–267]. The condition that the function should be continuous in Husain and Sehgal, op. cit., is replaced by a semicontinuity condition.
Singh, S. P., Meade, B. A.
openaire   +2 more sources

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