A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space [PDF]
Mathematics, 2020 Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in ...
Kyung Soo Kim
doaj +6 more sources
Common Coupled Fixed-Point Theorems in Generalized Fuzzy Metric Spaces [PDF]
Advances in Fuzzy Systems, 2011 We prove two unique common coupled fixed-point theorems for self maps in symmetric G-fuzzy metric spaces.
K. P. R. Rao, I. Altun, S. Hima Bindu
doaj +7 more sources
A coupled common fixed point theorem for a family of mappings [PDF]
Nonlinear Analysis, 2013 In this paper we introduce the concept of coincidentally commuting pair in the context of coupled fixed point problems. It is established that an arbitrary family of mappings has a coupled common fixed point with two other functions under certain ...
Binayak S. Choudhury +2 more
doaj +5 more sources
On Common Coupled Fixed Point Theorems for Comparable Mappings in Ordered Partially Metric Spaces [PDF]
Abstract and Applied Analysis, 2014 Common coupled fixed point theorems are examined in this paper for comparable mappings ensuring nonlinear contraction in ordered partial metric spaces. Given theorems enlarge and universalize some conclusions of Gnana Bhaskar and Lakshmikantham (2006).
Ali Mutlu +3 more
doaj +6 more sources
Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces [PDF]
Journal of Applied Mathematics, 2013 We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of ...
Marwan Amin Kutbi +3 more
doaj +7 more sources
Common Coupled Fixed Point Theorems on C⋆-Algebra-Valued Partial Metric Spaces [PDF]
Journal of Function Spaces, 2022 In this paper, we prove common coupled fixed point theorems on complete C⋆-algebra-valued partial metric spaces. An example and application to support our result are presented.
Gunaseelan Mani +3 more
doaj +2 more sources
Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces [PDF]
Fixed Point Theory and Applications, 2011 We prove a common fixed point theorem for mappings under -contractive conditions in fuzzy metric spaces. We also give an example to illustrate the theorem. The result is a genuine generalization of the corresponding result of S.Sedghi et al. (2010)
Hu Xin-Qi
doaj +4 more sources
A common coupled fixed point theorem in intuitionistic Menger metric space [PDF]
Mathematica Moravica, 2016 We establish a common fixed point theorem for mappings under φ-contractive conditions on intuitionistic Menger metric spaces. As an application of our result we study the existence and uniquenes of the solution to a nonlinear Fredholm integral equation ...
Leila Aoua Ben, Aliouche Abdelkrim
doaj +3 more sources
Hybrid Coupled Fixed Point Theorems in Metric Spaces with Applications [PDF]
Journal of Function Spaces, 2019 In this manuscript, using CLR property, coupled coincidence and common coupled fixed point results for two-hybrid pairs satisfying (F,φ)- contraction are demonstrated.
Muhammad Shoaib +2 more
doaj +2 more sources
Fixed 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