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The main purpose here is to show equivalence between Fixed point theorem and convex metric space. It ply crucial role in mathematical theory with applications in various branches of science. Banach contraction principle was introduced by S. Sedghi(9) and some common fixed point and S-metric space results for self-mappings on vector valued complete S-metric space. We derive some fixed point theorems for self-mappings satisfying certain contraction principles on a convex complete metric space. we also investigate some common fixed point theorems for a Banach operator pair under certain generalized contractions on a convex complete metric space derived by S. Sedghi(8). It has important role in fixed point theory and became very famous due to iterations used in the theorem. The evaluation of fixed points of mappings satisfying many contractive conditions is at the center of research work and several vital results have been established by T. Takahashi
Keywords:
Fixed Points, metric space, convex metric space, mapping, S-metric space
Cite Article:
"ON CHARACTERISATION OF FIXED POINT THEOREMS IN CONVEX METRIC SPACES", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.8, Issue 7, page no.109 - 111, July-2023, Available :http://www.ijrti.org/papers/IJRTI2307019.pdf
Downloads:
000205112
ISSN:
2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator