Fixed points of Nesic type contraction maps in Convex metric spaces

  1. Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
  2. Department of Mathematics, Dr. Lankapalli Bullayya college, Visakhapatnam-530 013, India

Published in Issue 2025-11-09

How to Cite

Fixed points of Nesic type contraction maps in Convex metric spaces. (2025). Communications in Nonlinear Analysis, 11(1). https://oiccpress.com/cna/article/view/17851

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Abstract

We define Nesic type contraction maps in convex metric spaces and prove the existence and uniqueness of fixed points of these maps in convex metric spaces. Our results extend the results of Nesic ([1], Results on fixed points of asymptotically regular mappings ) from the metric space setting to convex metricspaces.

Keywords

  • Convex structure,
  • Nesic contraction map,
  • Nesic type contraction map