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An iterative algorithm for fixed point problem and convex minimization problem with applications

, 2015
Gang Cai, Yekini Shehu
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On the Fixed Point Index of Iterates of Planar Homeomorphisms [PDF]

, 1990
Morton B. Brown
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FIXED POINTS FOR MONOTONE ITERATIVELY LOCAL CONTRACTIONS

, 1986
Let the quasi-ordered metric space $(X,d,\le)$ and the increasing self-mapping $T$ of $X$ be such that: for each $x\in X$ with $x\le Tx$, there exists a rank $n(x)\in N$ and an increasing function$f(x):R_+^{2n(x)+1} \to R_+$ with$d(T^{n(x)}x,T^{n(x)}y)\le f(x)(d(x,Tx),...,d(x,T^{n(x)}x);d(x,y),...,d(x,T^{n(x)}y))$,for all $y\in X$, $x\le y\le Ty$; then,
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Functional equation modeling of adaptive operant-control systems via Matkowski fixed point theory. [PDF]

PLoS One
Monica S, Ramesh Kumar D.
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A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems [PDF]