Some common fixed point results for rational type contraction mappings in partially ordered metric spaces

Sumit Chandok

Displaying similar documents to “Some common fixed point results for rational type contraction mappings in partially ordered metric spaces”

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In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.