scholarly journals Coupled coincidence point and common coupled fixed point results in cone b-metric spaces

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Zaid Mohammed Fadail ◽  
Abd Ghafur Bin Ahmad
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Common Coupled Fixed Point ◽  
Coupled Coincidence

scholarly journals Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Zorana Golubović ◽  
Zoran Kadelburg ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Partial Metric ◽  
Coincidence Points ◽  
Coupled Coincidence Points ◽  
Partial Metric Spaces ◽  
Coupled Coincidence

New coupled coincidence point and coupled fixed point results in ordered partial metric spaces under the contractive conditions of Geraghty, Rakotch, and Branciari types are obtained. Examples show that these results are distinct from the known ones.

scholarly journals Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Hassen Aydi ◽  
Erdal Karapınar ◽  
İnci M. Erhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Coupled Coincidence

We prove coupled coincidence point and coupled fixed point results of and involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.

scholarly journals Coupled coincidence point result in partially ordered generalized metric spaces

2012 ◽  
Vol 43 (4) ◽  
pp. 609-619 ◽  
Author(s):  
Vizender Sihag ◽  
Ramesh Kumar Vats
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Computer Modelling ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Generalized Metric Spaces ◽  
Partially Ordered ◽  
Generalized Metric ◽  
Coupled Coincidence

The present study introduces the notion of compatibility in partially ordered G-metric spaces and uses this perception to establish a coupled coincidence point result. Our effort extend the recent work of Choudhary and Maity [B. S. Choudhary, P. Maity, Coupled fixed point results in generalized metric spaces, Mathematical and Computer Modelling 54 (2011) 73-79]. The example demonstrates that our main result is an actual improvement over the results which are generalized

scholarly journals Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Min Liang ◽  
Chuanxi Zhu ◽  
Zhaoqi Wu ◽  
Chunfang Chen
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Coupled Coincidence Point ◽  
Nonlinear Integral Equations ◽  
Partially Ordered ◽  
Coupled Coincidence

Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. An example is given to support our main results. As an application, we discuss the existence of the solutions for a class of nonlinear integral equations.

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

2020 ◽  
Vol 13 (1) ◽  
Author(s):  
Belay Mitiku ◽  
Kalyani Karusala ◽  
Seshagiri Rao Namana
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Common Fixed Points ◽  
Coupled Coincidence Point ◽  
Partially Ordered ◽  
Coupled Common Fixed Point ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract 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. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. Result The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.

scholarly journals Hybrid Coupled Fixed Point Theorems in Metric Spaces with Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Muhammad Shoaib ◽  
Muhammad Sarwar ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Coupled System ◽  
Matrix Equations ◽  
Common Coupled Fixed Point ◽  
Nonlinear Matrix ◽  
Two Hybrid ◽  
Coupled Coincidence

In this manuscript, using CLR property, coupled coincidence and common coupled fixed point results for two-hybrid pairs satisfying (F,φ)- contraction are demonstrated. Using the established results existence of solution to the coupled system of functional and nonlinear matrix equations is also discussed. We provide examples where the main theorem is applicable but most current relevant results in literature fail to have a common coupled fixed point.

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

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
N. Seshagiri Rao ◽  
K. Kalyani ◽  
K. Prasad
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Weak Contraction ◽  
Partially Ordered ◽  
Contraction Condition ◽  
Generalized Weak Contraction ◽  
Coupled Coincidence

Abstract 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. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. Result In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.

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