Fixed point theorems via Generalized WF-Contractions with applications

• Rosana Rodríguez-López ^[1] ; Rakesh Tiwari ^[2]
  1. [1] Universidade de Santiago de Compostela

     Universidade de Santiago de Compostela

     Santiago de Compostela, España

     
  2. [2] Government V. Y. T. Post-Graduate Autonomous College
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 79, Nº. 2, 2022, págs. 321-332
• Idioma: inglés
• DOI: 10.1007/s40324-021-00261-2
• Enlaces
  • Texto completo
• Resumen

  • The aim of this paper is to introduce a new class of mixed contractions which allow to revise and generalize some results obtained in [6] by R. Gubran, W. M. Alfaqih and M. Imdad. We also provide an example corresponding to this class of mappings and show how the new fixed point result relates to the above-mentioned result in [6]. Further, we present an application to the solvability of a two-point boundary value problem for second order differential equations.