Common fixed point and common coupled fixed point theorems for weakly monotone mappings
Copyright policy )Common fixed point and common coupled fixed point theorems for weakly monotone mappings
In this paper we have established two common fixed point theorems which are variants of the fixed point theorem of Boyd and Wong [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458-464]. By applying the newly established fixed point theorems two common coupled fixed point theorems have been proved for a pair of weakly increasing mappings. Examples are given to substantiate our theorems.
partially ordered set, coupled fixed point, coupled common fixed point, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, QA1-939, Complete metric spaces, Special maps on metric spaces, Mathematics, weakly increasing mappings
partially ordered set, coupled fixed point, coupled common fixed point, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, QA1-939, Complete metric spaces, Special maps on metric spaces, Mathematics, weakly increasing mappings
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