Common fixed point theorem for generalized θ-φ contraction in E-metric spaces

  • Swati Saxena H.N.B. Garhwal University
  • U. C. Gairola

Abstract

In this paper, a common fixed point theorem for generalized θ-φ contraction map in E-metric space is proved. The result presented in this paper extend and improve the corresponding result of Ćirić [Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (1971), 19-26]. We also present an illustrated example in support of our result. As application, we give a homotopy results for operators on a set endowed with E-metric space.

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Published
2025-01-27
Section
Research Articles