Fixed Points of Generalized $\alpha-\beta-\psi-$Contractive Mappings in Partially Ordered Complete Metric Spaces


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Authors

  • Venkata Ravindranadh Babu Gutti Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • Sudheer Kumar Pathina Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India
  • Satyanarayana Gedala Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

Keywords:

Fixed point, generalized $\alpha-\beta-\psi-$ contractive map, $\alpha-\beta-$admissible map, partially ordered complete metric space

Abstract

In this paper, we introduce the notion of generalized $\alpha-\beta-\psi-$contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed points for such mappings in partially ordered metric spaces. We deduce some corollaries and provide examples in support of our main results. Our results generalize the results of Asgari and Badehian [4].

 

 

Author Biographies

Venkata Ravindranadh Babu Gutti, Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

 

 

Sudheer Kumar Pathina, Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

 

 

Satyanarayana Gedala, Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, India

 

 

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Published

15-05-2018

How to Cite

Venkata Ravindranadh Babu Gutti, Sudheer Kumar Pathina, & Satyanarayana Gedala. (2018). Fixed Points of Generalized $\alpha-\beta-\psi-$Contractive Mappings in Partially Ordered Complete Metric Spaces. International Journal of Mathematics And Its Applications, 6(2 - A), 83–92. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/646

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.