scholarly journals COMMON COUPLED FIXED POINT THEOREMS FOR TWO HYBRID PAIRS OF MAPPINGS SATISFYING AN IMPLICIT RELATION

2015 ◽  
Vol 11 (1) ◽  
pp. 85-100 ◽  
Author(s):  
Bhavana Deshpande ◽  
Amrish Handa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Implicit Relation ◽  
Common Coupled Fixed Point ◽  
Two Hybrid

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 Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Bhavana Deshpande ◽  
Amrish Handa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point ◽  
Hybrid Pair ◽  
The Common ◽  
Two Hybrid

We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F:X×X→2X and f:X→X. We also introduce common (EA) property for two hybrid pairs F, G:X→2X and f, g:X→X. We establish some common coupled …fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction on noncomplete metric spaces. An example is also given to validate our results. We improve, extend and generalize several known results. The results of this paper generalize the common …fixed point theorems for hybrid pairs of mappings and essentially contain …fixed point theorems for hybrid pair of mappings.

scholarly journals Coupled Fixed Point Theorems in Vector b-metric Space

2019 ◽  
Vol 8 (3S3) ◽  
pp. 468-476
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point

This paper consists of some coupled and common coupled fixed point theorems in vector b-metric spaces. Vector b-metric space or E-b-metric space was introduced by Petre [6] merging the concepts of vector metric space as introduced by Cevik [4] and b-metric space as introduced by Czerwik [5]. We generalize the results of Shatnanawi and Hani [8] and Rao et al. [7].

scholarly journals Common coupled fixed point theorems on cone b-metric-like space

2020 ◽  
Vol 768 ◽  
pp. 052060
Author(s):  
Changchun Wang ◽  
Guangjun Xu ◽  
Zhuanzhou Zhang ◽  
Jie Ran ◽  
Zhiyou Chen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point

scholarly journals Common coupled fixed point theorems in $d$-complete topological spaces

2012 ◽  
Vol 3 (2) ◽  
pp. 107-114 ◽  
Author(s):  
K‎. ‎P‎. ‎R‎. ‎Rao ◽  
‎K‎. ‎R‎. ‎K‎. ‎Rao ◽  
Erdal Karapinar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Topological Spaces ◽  
Common Coupled Fixed Point
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