Fixed point theorems for improved α -Geraghty contractions in partial metric spaces | Zendy

Muhammad Nazam | Zendy; Muhammad Arshad | Zendy; Choonkil Park | Zendy

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Fixed point theorems for improved α -Geraghty contractions in partial metric spaces

Author(s) -

Muhammad Nazam,

Muhammad Arshad,

Choonkil Park

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.83

Subject(s) - mathematics , metric space , pure mathematics , fixed point theorem

Rosa and Vetro [V. La Rosa, P. Vetro, J. Nonlinear Sci. Appl., 7 (2014), 1–10] established new fixed point results in complete partial metric spaces. In this paper, we improve the notion of α-Geraghty contraction type mappings and establish some common fixed point theorems for a pair of α-admissible mappings under an improved notion of α-Geraghty contraction type mappings in complete partial metric spaces. We give an example to illustrate these results. An application of main result to the existence of solution of system of integral equations is also presented. c ©2016 All rights reserved.

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