2017
DOI: 10.22436/jnsa.010.04.29
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Comparable nonlinear contractions in ordered metric spaces

Abstract: In this article, we generalize some frequently used metrical notions such as: completeness, closedness, continuity, gcontinuity and compatibility to order-theoretic setting especially in ordered metric spaces and utilize these relatively weaker notions to prove some existence and uniqueness results on coincidence points for g-comparable mappings satisfying Boyd-Wong type nonlinear contractivity conditions. We also furnish some illustrative examples to demonstrate our results. Finally, as an application of our … Show more

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Cited by 2 publications
(2 citation statements)
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“…The uniqueness of the fixed point can be guaranteed from several additional properties of the relation ℜ (cf. [1,4,5,7,8,9,10,11]) which here we do not take under examination.…”
Section: Remarkmentioning
confidence: 99%
See 1 more Smart Citation
“…The uniqueness of the fixed point can be guaranteed from several additional properties of the relation ℜ (cf. [1,4,5,7,8,9,10,11]) which here we do not take under examination.…”
Section: Remarkmentioning
confidence: 99%
“…Fixed point theorems involving contraction conditions under preserving relations are known in literature (cf. [1,2,3,4,5]). These theorems involve usual sequences of successive approximations in complete metric spaces.…”
Section: Introductionmentioning
confidence: 99%