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Fixed point theorems in partially ordered complete metric spaces. (English) Zbl 1225.54030
Summary: We present some fixed point theorems in a partially ordered complete metric space $X$. The usual Caristi’s condition that $x⪯Tx$ for each $x\in X$ is weakened at the expense that the mapping is nondecreasing with respect to a partial order.
##### MSC:
 54H25 Fixed-point and coincidence theorems in topological spaces 65J15 Equations with nonlinear operators (numerical methods) 47H10 Fixed point theorems for nonlinear operators on topological linear spaces 47J25 Iterative procedures (nonlinear operator equations)
##### References:
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