Results 11 to 20 of about 12,408 (253)

Coupled Coincidence Point and Coupled Common Fixed Point Theorems in Partially Ordered Metric Spaces with w-Distance

open access: yesFixed Point Theory and Applications, 2010
Let \(X\) be a nonempty set and \(F:X\times X\rightarrow X\), \(g:X\rightarrow X\) be two mappings. An ordered pair \((x,y)\in X\times X\) is called: (i) a coupled coincidence point of \(\{F,g\}\) if \(g(x)=F(x,y)\) and \(g(y)=F(y,x)\); (ii) a common coupled coincidence point of \(\{F,g\}\) if \(x=g(x)=F(x,y)\) and \(y=g(y)=F(y,x)\).
Mujahid Abbas   +2 more
doaj   +4 more sources

Coupled coincidence point results for contraction of $C$-class mappings in ordered uniform spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In the literature there is a lot of works related to fixed point theory. The theory has many applications and some authors are interested in these applications in various spaces. In 2009, Altun I. and Imdad M. defined the order relation on uniform spaces
A.H. Ansari, D. Binbasioglu, D. Turkoglu
doaj   +8 more sources

MULTIVALUED COUPLED COINCIDENCE POINT RESULTS IN METRIC SPACES

open access: yesMatematički Vesnik, 2023
Summary: In this paper, we use an inequality involving a coupled multivalued mapping and a singlevalued mapping to obtain a coupled coincidence point theorem. We discuss special conditions under which coupled common fixed point theorems are obtained. The result combines several ideas prevalent in fixed point theory studies.
Choudhury, Binayak S.   +2 more
openaire   +2 more sources

A New Technique to Compute Coupled Coincidence Points [PDF]

open access: yesChinese Journal of Mathematics, 2014
We compute coupled coincidence points without assuming the condition of compatibility of the pair of maps and relaxing the continuity condition of both the maps. In fact, our technique improves the technique introduced by Sintunavarat et al. (2011) which was then used by Hussain et al. (2012) to obtain coupled coincidence points.
Jain, Manish   +2 more
openaire   +1 more source

Fixed point results of weakly contraction mappings in partially ordered b-metric spaces

open access: yesBMC Research Notes, 2022
Objectives We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature.
K. Kalyani, N. Seshagiri Rao
doaj   +1 more source

Fixed point results of $(\phi,\psi)$-weak contractions in ordered $b$-metric spaces

open access: yesCubo, 2022
The purpose of this paper is to prove some results on fixed point, coincidence point, coupled coincidence point and coupled common fixed point for the mappings satisfying generalized $(\phi, \psi)$-contraction conditions in complete partially ordered ...
N. Seshagiri Rao, K. Kalyani
doaj   +1 more source

Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself ...
Hasan Hosseinzadeh
doaj   +1 more source

Coupled coincidence point and common coupled fixed point results in cone b-metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fadail, Zaid, Ahmad, Abd
openaire   +1 more source

Some fixed point results of generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in ordered b-metric spaces

open access: yesBMC Research Notes, 2020
Objectives The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive mappings in partially ordered b-metric spaces ...
Belay Mitiku   +2 more
doaj   +1 more source

Fixed point results for weak contractions in partially ordered b-metric space

open access: yesBMC Research Notes, 2021
Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction.
N. Seshagiri Rao, K. Kalyani, K. Prasad
doaj   +1 more source

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