Some results for uniformly Lipchizian mappings in convex modular spaces

Published in Issue 2025-11-09

How to Cite

Some results for uniformly Lipchizian mappings in convex modular spaces. (2025). Communications in Nonlinear Analysis, 8(2). https://oiccpress.com/cna/article/view/17931

PDF views: 261

Abstract

In this paper, we introduce the concept of generalized uniformly L-Lipchizian mappings with constant $u$ and a strong convergence theorem for a pair of generalized uniformly L-Lipchizian mappings in convex modular spaces. Our work generalizes and extends a good number of results in this area of research.

Keywords

  • uniformly L-Lipchizian,
  • asymptotically nonexpansive,
  • asymptotically pseudo-contractive mapping,
  • convex modular space,
  • Fixed point