Some Fixed Point Results in Ordered S-metric Spaces
Sukh Raj Singh, Manoj Ughade, R. D. Daheriya
Asian Research Journal of Mathematics · pp. 1–19 · Published 12 Sep 2016
10.9734/ARJOM/2016/28959Abstract
The aim of this paper is to present some fixed point theorems for non-decreasing map involving rational expression in the framework of S-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions. Our results generalize and extend some known results on metric spaces to S-metric spaces, which appeared in [1-4]. We give examples to demonstrate the validity of the results.
References (16)
- 1 Fixed point theorems by altering distances between the points [DOI]
- 2 A new approach to generalized metric spaces
- 3 2‐metrische Räume und ihre topologische Struktur [DOI]
- 4 Lineare 2‐normierte Räume [DOI]
- 5 Some remarks concerning D∗-metric spaces [DOI]
- 6 Remarks on G-metric spaces and fixed point theorems [DOI]
- 7 Über die Uniformisierbarkeit 2‐metrischer Räume [DOI]
- 8 Fixed point theorems for g-monotone maps on partially ordered S-metric spaces [DOI]
- 9 Common Fixed Point Results for Mappings with Rational Expressions [DOI]
- 10 FIXED POINT RESULTS FOR F-CONTRACTIONS INVOLVING SOME NEW RATIONAL EXPRESSIONS [DOI]
- 11 On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces [DOI]
- 12 A fixed point theorem for contractions of rational type in partially ordered metric spaces [DOI]
- 13 A new approach to fixed point theorems on G -metric spaces [DOI]
- 14 Common fixed point results in complex valued metric spaces with application to integral equations [DOI]
- 15 SOME RESULT IN ORDERED METRIC SPACES FOR RATIONAL TYPE EXPRESSIONS
- 16 A study of some fixed point theorems
Cited by 3
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