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FG-coupled fixed point theorems for various contractions in partially ordered metric spaces

Publication Type : Journal Article

Publisher : Sarajevo Journal of Mathematics

Source : Sarajevo Journal of Mathematics, Volume 15, Issue 28, p.291-307 (2019)

Url : http://www.anubih.ba/Journals/vol.15,no-2,y19/12_1269-Prajisha_E,Shaini_P.pdf

Keywords : Coupled fixed point, FG-coupled fixed point, Mixed monotone property, Partially ordered set.

Campus : Amritapuri

School : School of Arts and Sciences

Department : Mathematics

Year : 2019

Abstract : ABSTRACT. In this paper we introduce FG-coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FGcoupled fixed points for different contractive mappings. Our theorems generalizes the results of Gnana Bhaskar and Lakshmikantham [1]

Cite this Research Publication : Prajisha E. and Shaini P., “FG-coupled fixed point theorems for various contractions in partially ordered metric spaces”, Sarajevo Journal of Mathematics, vol. 15, no. 28, pp. 291-307, 2019.

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