STUDY OF SOME COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED S-METRIC SPACE
STUDY OF SOME COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED S-METRIC SPACE
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Date
2016-03
Authors
MASHINA, MOHAMMED SANI
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Abstract
In this dissertation, we studied some properties of S-metric, S∶X3→[0,∞)on a nonempty set X as a generalized metric in 3-tuples and established some coupled common fixed point results with the mixed weakly monotone mappings in partially ordered S-metric space. Our results generalize some coupled fixed point results with the mixed weakly monotone mappings in partially ordered metric space in the framework of S-metric space.
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A DISSERTATION SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE AWARD OF MASTER DEGREE IN MATHEMATICS. DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE AHMADU BELLO UNIVERSITY, ZARIA NIGERIA
Keywords
COUPLED FIXED POINT, THEOREMS, PARTIALLY ORDERED S-METRIC SPACE