• 제목/요약/키워드: orthogonal generalized F-contraction

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APPLICATION AND FIXED POINT THEOREMS FOR ORTHOGONAL GENERALIZED F-CONTRACTION MAPPINGS ON O-COMPLETE METRIC SPACE

  • Mani, Gunaseelan;Prakasam, A. Leema Maria;Mishra, Lakshmi Narayan;Mishra, Vishnu Narayan
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.903-915
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    • 2021
  • In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

COMMON FIXED POINT RESULTS FOR GENERALIZED ORTHOGONAL F-SUZUKI CONTRACTION FOR FAMILY OF MULTIVALUED MAPPINGS IN ORTHOGONAL b-METRIC SPACES

  • Leyew, Bahru Tsegaye;Mewomo, Oluwatosin Temitope
    • 대한수학회논문집
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    • 제37권4호
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    • pp.1147-1170
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    • 2022
  • In this paper, we introduce a new class of mappings called the generalized orthogonal F-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal b-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal b-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.