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Chauhan, Sunny; Khan, Muhammad Alamgir; Kadelburg, Zoran; Imdad, Mohammad

Unified common fixed point theorems for a hybrid pair of mappings via an implicit relation involving altering distance function. (English) Zbl 1474.54139

Abstr. Appl. Anal. 2014, Article ID 718040, 8 p. (2014).
Summary: The object of this paper is to emphasize the role of a suitable implicit relation involving altering distance function which covers a multitude of contraction conditions in one go. By using this implicit relation, we prove a new coincidence and common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings in a metric space employing the common limit range property. Our main result improves and generalizes a host of previously known results. We also utilize suitable illustrative examples to substantiate the realized improvements in our results.

Cited in 1 Document

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
47J25 Iterative procedures involving nonlinear operators
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\textit{S. Chauhan} et al., Abstr. Appl. Anal. 2014, Article ID 718040, 8 p. (2014; Zbl 1474.54139)
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References:

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