Fixed Point Theorem for Occasionally Weakly Compatible Mappings With Common Limit Range Property Satisfying Generalized $(\psi,\phi)$-Weak Contractive Conditions


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Authors

  • P. Srikanth Rao Department of Mathematics, B.V.R.I.T, Vishnupur, Narsapur, Medak, Telangana, India
  • Veena Kulkarni Department of Mathematics, B.V.R.I.T, Vishnupur, Narsapur, Medak, Telangana, India

Keywords:

Metric space, Occasionally weakly compatible mappings, Property (E.A), Generalized weak contraction, Common limit range property, Common fixed point

Abstract

In this paper, we prove some common fixed point theorems for occasionally weakly compatible mappings in metric spaces satisfying generalized $(\psi,\phi)$-contractive conditions under the common limit range property. We present fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings. Our results improve and extend the corresponding results of Mohammad Imdad, Sunny Chauhan and ZoranKadelburg (Mathematical Sciences 7(16): 1-8, 2013).

 

 

Author Biographies

P. Srikanth Rao, Department of Mathematics, B.V.R.I.T, Vishnupur, Narsapur, Medak, Telangana, India

 

 

Veena Kulkarni, Department of Mathematics, B.V.R.I.T, Vishnupur, Narsapur, Medak, Telangana, India

 

 

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Published

15-05-2018

How to Cite

P. Srikanth Rao, & Veena Kulkarni. (2018). Fixed Point Theorem for Occasionally Weakly Compatible Mappings With Common Limit Range Property Satisfying Generalized $(\psi,\phi)$-Weak Contractive Conditions. International Journal of Mathematics And Its Applications, 6(2 - A), 251–261. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/669

Issue

Vol. 6 No. 2 - A (2018)

Section

Research Article

License

Creative Commons License

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