Iterative fixed point theorems in E-metric spaces

作者：Pales Zs^*; Petre I R

来源：Acta Mathematica Hungarica, 2013, 140(1-2): 134-144.

DOI：10.1007/s10474-012-0274-8

• Contraction Principle
• E-metric space
• fixed point
• multivalued operator
• phi-contraction
• Riesz space
• vector lattice
• vector metric space

We present a multivalued nonlinear fixed point theorem in an E-metric space introducing the concept of strict positivity in a Riesz space. Our result extends some well-known fixed point theorems obtained by J. Matkowski, R. WeI grzyk, R. Cristescu, and C. Cevik, I. Altun.