scholarly journals A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Lucas Wangwe ◽  
Santosh Kumar
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Forced Oscillations ◽  
Nonlinear Fractional Differential Equation ◽  
Kannan Mapping ◽  
Common Fixed Point Theorem

This paper is aimed at proving a common fixed point theorem for F -Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results.

scholarly journals Common fixed point and best approximation results for subcompatible mappings in hyperbolic ordered metric spaces

2015 ◽  
Vol 24 (1) ◽  
pp. 77-82
Author(s):  
SAVITA RATHEE ◽  
◽  
SAVITA REETU ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Best Approximation ◽  
Metric Spaces ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Common Fixed Point Theorem

In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.

scholarly journals A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Siniša N. Ješić ◽  
Nataša A. Babačev ◽  
Rale M. Nikolić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorem

This paper is to present a common fixed point theorem for twoR-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given.

Common Fixed Point Theorem in G-Metric Spaces

2017 ◽  
Vol 47 (2) ◽  
pp. 101-104
Author(s):  
Antima Sindersiya ◽  
◽  
Aklesh Pariya ◽  
Nirmala Gupta ◽  
V. H Badshah
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Common Fixed Point Theorem
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