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Fixed point results for nonlinear contractions with application to integral equations. (English) Zbl 07132431

Summary: We present a number of fixed and common fixed point theorems for a class of nonlinear contractions in metric spaces and metric spaces endowed with graphs. Our results complement, extend and generalize a number of fixed point theorems including a recent fixed point theorem of J. K. Kim et al. [J. Nonlinear Convex Anal. 16, No. 9, 1779–1786 (2015; Zbl 1332.54212)]. We also discuss an application to a system of integral equations.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)

Citations:

Zbl 1332.54212
Full Text: DOI

References:

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