Common Coupled Fixed Point Theorems Without compatibility in Partially Ordered Metric Spaces [PDF]
International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2022 A perfect blend of requirements for the proof of common coupled fixed point theorems in partially ordered metric space without the assumptions of (weak) compatibility is accomplished. Previous attempts in this direction involving these assumptions mostly ensure existence of coupled coincidence points.
Tijani, K. R. +3 more
openaire +3 more sources
Common coupled fixed point theorems in $d$-complete topological spaces [PDF]
Annals of Functional Analysis, 2012 In this paper, we give two unique common coupled xed point the- orems for mappings satisfying a generalized condition in d-complete topological spaces.
Rao, K. P. R. +2 more
openaire +3 more sources
Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction [PDF]
Mathematics Interdisciplinary Research, 2017 In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give
Abdolsattar Gholidahneh +3 more
doaj +3 more sources
Coupled Fixed Point Theorems under Weak Contractions [PDF]
Discrete Dynamics in Nature and Society, 2012 Cho et al. [Comput. Math. Appl. 61(2011), 1254–1260] studied common fixed point theorems on cone metric spaces by using the concept of c-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the ...
Y. J. Cho +3 more
doaj +2 more sources
A Unique Common Coupled Fixed Point Theorem for Four Maps in Partial b-Metric-Like Spaces [PDF]
Sultan Qaboos University Journal for Science, 2015 We prove the existence of a unique common coupled fixed point theorem for four mappings satisfying a general contractive condition on partial b-metric-like spaces. We also give an example to illustrate our main theorem.
Mohammad S. Khan +2 more
doaj +3 more sources
Common Coupled Fixed Point Theorem for Geraghty-Type Contraction in Partially Ordered Metric Spaces [PDF]
Journal of Function Spaces, 2018 We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by (CLRST)), the ...
Xiao-lan Liu +2 more
doaj +2 more sources
Coupled common fixed point theorems in partially ordered G-metric spaces for nonlinear contractions [PDF]
Mathematica Moravica, 2014 The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed ɡ-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered G-metric spaces.
Jain Manish +3 more
doaj +5 more sources
Coupled Coincidence Point and Coupled Common Fixed Point Theorems in Partially Ordered Metric Spaces with
Fixed Point Theory and Applications, 2010 We introduce the concept of a -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with -distances.
Ilić Dejan +2 more
doaj +1 more source
On Coupled Common Fixed Point Theorems for Nonlinear Contractions with the Mixed Weakly Monotone Property in Partially Ordered S-Metric Spaces [PDF]
Journal of Function Spaces, 2016 The main aim of this paper is to establish some coupled common fixed point theorems under a Geraghty-type contraction using mixed weakly monotone property in partially ordered S-metric space. Also, we give some sufficient conditions for the uniqueness of
Mi Zhou, Xiao-Lan Liu
doaj +2 more sources
COUPLED AND COMMON COUPLED FIXED POINT THEOREMS UNDER NEW COUPLED IMPLICIT RELATION IN PARTIAL METRIC SPACES [PDF]
Facta Universitatis, Series: Mathematics and InformaticsThe purpose of this paper is to study existence and uniqueness of coupledand common coupled fixed point theorems for self-mappings satisfying a new coupledimplicit relation in the setting of partial metric spaces and give some corollaries ofTheorem 3.1.
Saluja, Gurucharan Singh
openaire +4 more sources