Ćirić-generalized contraction via wt−distance

Abstract

In this present paper, besides other things, we introduce the concept of Ćirić-generalized contractions via wt−distance and then we will prove some new fixed point results for these mappings, which generalize and improve fixed point theorems by L. B. Ćirić in [9, 8, 10] and also, B. E. Rhoades in [23]. Some examples illustrate usefulness of the new results. At the end, we will give some applications to nonlinear fractional differential equations.

Keywords

• fixed point
• ćirić-generalized contraction
• wt-distance
• (ψ,mp,l)-weakly contractive mappings