51 research outputs found
Coupled coincidence point theorems for mixed monotone nonlinear operators
AbstractWe obtain coupled coincidence and coupled common fixed point theorems for mixed g-monotone nonlinear operators F:XĆXāX in partially ordered metric spaces. Our results are generalizations of recent coincidence point theorems due to Lakshmikantham and ÄiriÄ [V. Lakshmikantham, L. ÄiriÄ, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341ā4349], of coupled fixed point theorems established by Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379ā1393] and also include as particular cases several related results in very recent literature
Common fixed points of noncommuting almost contractions in cone metric spaces
In this paper we prove the existence of coincidence points and
common fixed points for a large class of almost contractions in
cone metric spaces. These results generalize, extend and unify
several well-known recent related
results in literature
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