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A Short Survey on Dislocated Metric Spaces via Fixed-Point Theory

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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

Abstract

In this survey, we collect and combine basic notions and results for the fixed points of certain operators in the frame of dislocated metric (respectively, b-metric) spaces. By preparing a fundamental source, we shall aim to show that there are some rooms for researchers in this interesting and applicable research direction.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Atilim University, 06836, İncek, Ankara, Turkey

    Erdal Karapınar

  2. Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, 21589, Jeddah, Saudi Arabia

    Erdal Karapınar

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  1. Erdal Karapınar
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Correspondence to Erdal Karapınar .

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Editors and Affiliations

  1. Department of Nonlinear Analysis, Rzeszów University of Technology, Rzeszów, Poland

    Józef Banaś

  2. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  3. Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India

    Mohammad Mursaleen

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

  5. Dipartimento di Matematica e Informatica, University of Palermo, Palermo, Italy

    Calogero Vetro

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Karapınar, E. (2017). A Short Survey on Dislocated Metric Spaces via Fixed-Point Theory. In: Banaś, J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Springer, Singapore. https://doi.org/10.1007/978-981-10-3722-1_13

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