Fixed-point results for convex orbital operators

Abstract

The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no. 35) and prove some fixed-point theorems which generalize and complement several results in the theory of nonlinear operators.

Keywords

• hilbert space
• graphic contraction
• convex orbital lipschitz operator
• weakly picard operator
• fixed-point
• 47h10
• 54h25