New common fixed point theorems for multivalued maps (original) (raw)

Common fixed point theorems for multivalued mappings

Pacific Journal of Mathematics, 1981

Some results on common fixed points for a pair of multivalued mappings defined on a closed subset of a complete metric space are obtained. Our work extends some of the known results due to Itoh; Isέki; and Rus.

Fixed point theorems for single-valued and multi-valued maps

Nonlinear Analysis: Theory, Methods & Applications, 2011

a b s t r a c t Coincidence and fixed point theorems for single-valued and multi-valued maps generalizing recent results of Suzuki and Kikkawa are obtained. Various applications, including the existence of common solutions of certain functional equations are presented.

Common fixed point theorems for multi-valued maps

Acta Mathematica Scientia, 2012

We establish some results on coincidence and common fixed points for a twopair of multi-valued and single-valued maps in complete metric spaces. Presented theorems generalize recent results of Gordji et al [4] and several results existing in the literature.

Fixed point results for multivalued maps

International Journal of Contemporary Mathematical Sciences, 2007

Using the concept of w-distance, we prove some results on the existence of fixed points and common fixed points for multivalued Kannan maps. Consequently, we improve and generalize the corresponding fixed point results due to Latif and Beg, Suzuki, Kannan and many others.

Common fixed point results for multi-valued mappings with some examples

Journal of Nonlinear Sciences and Applications

In this paper, we define the concepts of the (CLR)-property and the (owc)-property for two single-valued mappings and two multi-valued mappings in metric spaces and give some new common fixed point results for these mappings. Also, we give some examples to illustrate the main results in this paper. Our main results extend and improve some results given by some authors.

Generalized fixed point results with multi-valued mappings

Işık University Press, 2020

In this article we deduce fixed point results for multi-valued contraction mappings. We primarily established two fixed results. One of them is the generalization of Nadler's contraction and the other result is the generalization of Mizoguchi-Takahashi's contraction. Some corollaries have been obtained from the main results and our results generalize some of the existing results. Illustrative examples are also constructed to support our main results.

Fixed point theorems and stability of fixed point sets of multivalued mappings

Advances in Fixed Point Theory, 2013

In this paper, we prove new fixed point theorems of multivalued mappings in partially ordered metric spaces using newly reformulated pre-order relations. As consequence, we derive fixed point theorems for single valued mappings given by Nieto and Rodriguez-Lopez [11], [12]. We also establish some results on the stability of fixed point sets of multivalued mappings in partially ordered metric spaces. General illustrative examples are also given. Essential to our results are the pre-order relations <1,<2,<3defined in [3], and newly reformulated pre-order relations namely <4,<5,<6, which are obtained by imposing a distance condition to comparable elements of two non-empty, closed and bounded sets.

Some algebraic fixed point theorems for multi-valued mappings with applications

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2006

In this paper, some algebraic fixed point theorems for multi-valued discontinuous operators on ordered spaces are proved. These theorems improve the earlier fixed point theorems of Dhage (1988, 1991) Dhage and Regan (2002) and Heikkilä and Hu (1993) under weaker conditions. The main fixed point theorems are applied to the first order discontinuous differential inclusions for proving the existence of the solutions under certain monotonicity condition of multi-functions.

A Common Fixed Point Theorem for a Pair of Nonself Multi-valued Mappings

2012

A common fixed point theorem for a pair of nonself multi-valued mappings in complete metrically convex metric spaces is proved which generalizes some earlier known results due to Khan et al. [9], Bianchini [2], Chatterjea [3], Khan et al. [10] and others. An illustrative example is also discussed.