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Integral inclusions. Fixed point approaches

100%

Petrusel A.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2000

tom [Z] 40

147-158

The purpose of this paper is to present several existence theorems for classes of integral inclusions, using the fixed point technique.

Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems

88%

Ahmadi Z. , Lashkaripour R. , Baghani H.

Journal of Applied Analysis

2021

tom Vol. 27, nr 2

199--207

In this paper, we obtain some fixed point theorems for multivalued mappings in incomplete metric spaces. Moreover, as motivated by the recent work of Olgun, Minak and Altun [M. Olgun, G. Minak and I. Altun, A new approach to Mizoguchi-Takahashi type fixed point theorems, J. Nonlinear Convex Anal. 17 (2016), no. 3, 579-587],we improve these theorems with a new generalization contraction condition for multivalued mappings in incomplete metric spaces. This result is a significant generalization of somewell-known results in the literature. Also,we provide some examples to show that our main theorems are a generalization of previous results. Finally, we give an application to a boundary value differential equation.