Semicompatibility and fixed point theorems in an unbounded D‐metric space | Zendy

Bijendra Singh | Zendy; Shishir Jain | Zendy; Shobha Jain | Zendy

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Semicompatibility and fixed point theorems in an unbounded D‐metric space

Author(s) -

Bijendra Singh,

Shishir Jain,

Shobha Jain

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.789

Subject(s) - mathematics , metric space , fixed point theorem , metric (unit) , bounded function , convex metric space , fixed point , complete metric space , injective metric space , intrinsic metric , space (punctuation) , discrete mathematics , domain (mathematical analysis) , fixed point property , metric differential , pure mathematics , mathematical analysis , computer science , operations management , economics , operating system

Rhoades (1996) proved a fixed point theorem in a bounded D-metric space for a contractive self-map with applications. Here we establish a more general fixed point theorem in an unbounded D-metric space, for two self-maps satisfying a general contractive condition with a restricted domain of x and y. This has been done by using the notion of semicompatible maps in D-metric space. These results generalize and improve the results of Rhoades (1996), Dhage et al. (2000), and Veerapandi and Rao (1996). These results also underline the necessity and importance of semicompatibility in fixed point theory of D-metric spaces. All the results of this paper are new

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