FG-coupled Fixed Point Theorems for Contractive and Generalized Quasi-contractive Mappings
DOI:
https://doi.org/10.5644/SJM.19.02.01Keywords:
FG-coupled fixed point, mixed monotone property, partially ordered complete metric space, contractive mapping, quasi-contractive mappingAbstract
In this paper, we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of continuous as well as discontinuous mappings. Our first three results generalize the theorems of Gnana Bhaskar and Lakshmikantham [T. Gnana Bhasakar, V. Lakshmikantham; Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379-1393]. We give some examples to illustrate the results.
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