Cristian Daniel Alecsa, Adrian Petrusel, On some fixed point theorems for multi-valued operators by altering distance technique

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Volume 1, Issue 2, 1 August 2017, Pages 237-251

Abstract. The aim of this paper is to present some sufficient conditions for the existence and uniqueness of fixed points for $(\varphi-\psi)$ type contractive multi-valued operators defined by altering distances. Furthermore, our main result consists of two theorems, one involving the convergence of the Picard successive approximation sequence to a fixed point of the multivalued $\varphi-\psi$ operator, and a theorem concerning a more general form for a fixed point result for this type of mappings.

How to Cite this Article:
Cristian Daniel Alecsa, Adrian Petrusel, On some fixed point theorems for multi-valued operators by altering distance technique, J. Nonlinear Var. Anal. 1 (2017), 237-251.