scholarly journals On compatible mappings satisfying an implicit relation in common fixed point consideration

2002 ◽  
Vol 33 (3) ◽  
pp. 245-252 ◽  
Author(s):  
Sushil Sharma ◽  
Bhavana Deshpande
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Implicit Relation ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems for compatible mappings satisfying an implicit relation.

scholarly journals Unified Metrical Common Fixed Point Theorems in 2-Metric Spaces via an Implicit Relation

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Sunny Chauhan ◽  
Mohammad Imdad ◽  
Calogero Vetro
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Nonlinear Integral Equation ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Compatible Mappings ◽  
Implicit Relation ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.

scholarly journals Semi-compatible mappings and common fixed point theorems of an implicit relation via inverse $ C- $class functions

2021 ◽  
Vol 6 (3) ◽  
pp. 2636-2652
Author(s):  
Mi Zhou ◽  
◽  
Mukesh Kumar Jain ◽  
Mohammad Saeed Khan ◽  
Nicolae Adrian Secelean ◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Implicit Relation ◽  
Common Fixed Point Theorems

scholarly journals Common fixed point theorems for families of maps in complete L-fuzzy metric spaces

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 67-80 ◽  
Author(s):  
Xianjiu Huang ◽  
Chuanxi Zhu ◽  
Xi Wen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems for any even number of compatible mappings in complete L-fuzzy metric spaces. Our main results extend and generalize some known results in fuzzy metric spaces, intuitionistic metric spaces and L-fuzzy metric spaces.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

scholarly journals Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings

1997 ◽  
Vol 20 (4) ◽  
pp. 673-680 ◽  
Author(s):  
Nan-Jing Huang ◽  
Byung Soo Lee ◽  
Mee Kwang Kang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems

Some common fixed point theorems for compatible mappings are shown As an application, the existence and uniqueness of common solutions for a class of functional equations arising in dynamic programmings are discussed.

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