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Unified Feng-Liu type fixed point theorems solving control problems

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

The propose of this work is to study unified Feng-Liu type fixed point theorems using \((\alpha ,\eta )\)-muti-valued admissible mappings with more general contraction condition in complete metric spaces. The obtained results generalize and improve several existing theorems in the literature. We use these results in metric spaces endowed with binary relations and partially ordered sets. Some non-trivial example have been presented to illustrate facts and show genuineness of our work. At the end, the established results will be used to obtain existence solutions for a fractional-type integral inclusion.

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Acknowledgements

We thank the editor for his kind support. We are also grateful to the learned referee for useful suggestions which helped us to improve the text in several places.

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Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, TN, 632014, India

    Hemant Kumar Nashine

  2. Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park, 2006, South Africa

    Hemant Kumar Nashine & Rajendra Pant

  3. Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Rabha W. Ibrahim

  4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Rabha W. Ibrahim

  5. Department of Mathematics, Indiana University, Bloomington, IN, 47405-7106, USA

    B. E. Rhoades

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  1. Hemant Kumar Nashine
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  2. Rabha W. Ibrahim
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  3. B. E. Rhoades
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  4. Rajendra Pant
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Correspondence to Hemant Kumar Nashine.

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Nashine, H.K., Ibrahim, R.W., Rhoades, B.E. et al. Unified Feng-Liu type fixed point theorems solving control problems. RACSAM 115, 5 (2021). https://doi.org/10.1007/s13398-020-00937-w

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  • DOI: https://doi.org/10.1007/s13398-020-00937-w

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