Generalized fixed point results of rational type contractions in partially ordered metric spaces

偏序度量空间中理性型压缩映射的广义不动点结果

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Abstract

OBJECTIVES: We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order. Suitable examples are presented to justify the results obtained. RESULT: Some new fixed point results have been obtained for a mapping fulfilling generalized contractions. The uniqueness of the fixed point is also the part of the study based on an ordered relation. One example is given for a result which is not valid in the usual metric space.

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