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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

Fixed point and common fixed point theorems on ordered cone metric spaces

open access: yesApplied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ishak Altun, Boško Damjanovic
exaly   +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
Gray, William J., Smith, Carol M.
openaire   +2 more sources

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

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

Fixed point and common fixed point results in ordered cone metric spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we establish some fixed point results for functions which satisfy certain weak contractive inequalities in partially ordered cone metric spaces. We have also given some illustrative examples.
Choudhury Binayak S., Metiya N.
doaj   +1 more source

On common fixed points of mappings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1974
The object of this paper is to study common fixed points of mappings of a complete metric space into itself. The results obtained are generalizations of Ray Theorems.
openaire   +2 more sources

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