Open AccessUnique Common Fixed Point Result for Rational Contraction in Complex valued Metric Space
Author(s) -
Bindeshwari Sonant,
Surendra Kumar Tiwari
Publication year - 2021
Publication title -
international journal of mathematics and computer research
Language(s) - English
Resource type - Journals
ISSN - 2320-7167
DOI - 10.47191/ijmcr/v9i11.04
Subject(s) - metric space , mathematics , contraction (grammar) , fixed point theorem , pure mathematics , contraction mapping , fixed point , space (punctuation) , monotonic function , complete metric space , discrete mathematics , mathematical analysis , computer science , medicine , operating system
In this paper, we prove some unique common fixed point theorem for two pairs of weakly compatible mappings, satisfying the rational contraction conditions in complex valued metric space. The proved result, generalize and extend some known results in the literature. Finally, The main result is the application of the Urysohn integral equations to derive the existence theorem for a general solution. AMS(MOS) Subject Classification Codes: 47H10, 54H25.