PPF Dependent Fixed Point Theorem for $(\alpha - \psi)-$contractive Mappings in Banach Spaces


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Authors

  • Animesh Gupta H.No. 93/654, Ward No. 2 Gandhi Chowk, Pachmarhi-461881, Dist. Hoshangabad (M.P.), India
  • P. S. Kaurav Department of Mathematics, Government P.G. College, Gadarwara, Narsingpur, Madhya Pradesh, India

Keywords:

Razumikhin class, PPF dependent point, fixed point, Banach spaces

Abstract

We prove the existence of the PPF dependent fixed point theorems in the Razumikhin class for a pair of mappings satisfying $(\alpha - \psi)-$ contractive conditions in Banach spaces where the domains and ranges of the mappings are not the same. We also prove the existence of the PPF dependent common fixed point theorems and the PPF dependent coincidence points theorems. Our results extend and generalize the results of [2-4] and references therein.

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Published

30-01-2016

How to Cite

Animesh Gupta, & P. S. Kaurav. (2016). PPF Dependent Fixed Point Theorem for $(\alpha - \psi)-$contractive Mappings in Banach Spaces. International Journal of Mathematics And Its Applications, 4(1 - A), 39–58. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/544

Issue

Vol. 4 No. 1 - A (2016)

Section

Research Article

License

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