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Fixed point theorems for generalized multivalued contraction

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Abstract

In this paper, a fixed point theorem for multi-valued mappings on a complete metric space is established taking a general contractive condition which generalizes several contractive conditions. Many generalizations of some well known results are also obtained as corollaries. Further, we give an application to the existence and uniqueness of solutions for certain classes of functional equations arising in dynamic programming.

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Authors and Affiliations

  1. Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital, 263002, India

    N. Chandra, Mahesh C. Joshi & Narendra K. Singh

Authors
  1. N. Chandra
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  2. Mahesh C. Joshi
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  3. Narendra K. Singh
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Correspondence to N. Chandra.

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Chandra, N., Joshi, M.C. & Singh, N.K. Fixed point theorems for generalized multivalued contraction. J Anal 26, 49–59 (2018). https://doi.org/10.1007/s41478-017-0067-0

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  • DOI: https://doi.org/10.1007/s41478-017-0067-0

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