2019•Journal of Physics Conference SeriesOpen access

Fixed point theorems in dislocated quasi b-metric spaces for quadratic contractions

M. Kameswari

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Abstract

In this paper we prove fixed point theorems for a self map satisfying certain contraction condition involving quadratic terms in the frame work of dislocated quasi b-metric spaces.Also, these results are extended to a pair of weakly compatible selfmaps. Examples are also furnished in support of our results. Our results unify and enrich the comparable results in the literature.

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In this paper we prove fixed point theorems for a self map satisfying certain contraction condition involving quadratic terms in the frame work of dislocated quasi b-metric spaces.Also, these results are extended to a pair of weakly compatible selfmaps. Examples are also furnished in support of our results. Our results unify and enrich the comparable results in the literature.

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In this paper we prove fixed point theorems for a self map satisfying certain contraction condition involving quadratic terms in the frame work of dislocated quasi b-metric spaces.Also, these results are extended to a pair of weakly compatible selfmaps. Examples are also furnished in support of our results. Our results unify and enrich the comparable results in the literature.

Key concepts: Mathematics, Metric space, Quadratic equation, Contraction (grammar), Pure mathematics, Fixed point, Fixed-point theorem, Frame work

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