On Quadruple Random Fixed Point Theorems in Partially Ordered Metric Spaces

Rajesh Shrivastava, Ramakant Bhardwaj, Manish Sharma


Bhaskar and Lakshmikantham in [15] introduced the concept of coupled fixed point of a mapping and investigated the existence and uniquencess of a coupled fixed point theorem in partially ordered complete metric space. Lakshmikantham and Ciric [16] defined  mixed g-monotone property and coincidence point in partially ordered metric space. V. Berinde and M. Borcut[18] introduced the concept of triple fixed point and proved some related theorems. Following this trand,  Karapinar[19] introduced the nation of quadruple fixed point. The object of this note is to prove quadruple random fixed point theorem in partially ordered metric spaces.

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ISSN (Paper)2224-5782 ISSN (Online)2225-0506
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