Results 11 to 20 of about 12,408 (253)
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
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
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]
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
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
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]
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]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fadail, Zaid, Ahmad, Abd
openaire +1 more source
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
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

