COMMON FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACE

Authors

  • Gopi Prasad H.N.B. Garhwal University (Srinagar Garhwal) Department of Mathematics -246174

DOI:

https://doi.org/10.24297/jam.v11i5.1254

Keywords:

Partially ordered metric space, common fixed point, O-partially weakly increasi, O-compatible, O-complete, O-weak annihilator

Abstract

In this paper we prove some common fixed point theorems for two and four self-mappings using rational type contraction and some newly notified definitions in partially ordered metric space. In this way we generalized, modify, and extend some recent results due to Chandok and Dinu [14], Shantanwi and Postolache[28] and many others [1, 2, 4, 5, 21, 29, 30], thus generalizing results of Cabrea, Harjani and Sadarangani [12] as well as Dass and Gupta [15]  in the context of partial order metric setting.

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Author Biography

Gopi Prasad, H.N.B. Garhwal University (Srinagar Garhwal) Department of Mathematics -246174

Department of Mathematics, Research Scholar

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Published

2015-10-18

How to Cite

Prasad, G. (2015). COMMON FIXED POINT THEOREMS FOR RATIONAL TYPE CONTRACTION IN PARTIALLY ORDERED METRIC SPACE. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5266–5275. https://doi.org/10.24297/jam.v11i5.1254

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Articles