Cone Valued Measure of Noncompactnes and Related Fixed Point Theorems
نویسندگان
چکیده
The purpose of this article is to introduce the notion of cone valued measure of noncompactness. Our theoretical approach generalizes recent results for cone measure of noncompactness. For the proofs of our results we use the famous Schauder-Tichonov Theorem as well as Robert Cauty theorem in the new framework.
منابع مشابه
Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces
In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illus...
متن کاملFixed point theorems under c-distance in ordered cone metric space
Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered con...
متن کاملFixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces
In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed point heorems on generalized distance in ordere...
متن کاملMulti-valued fixed point theorems in complex valued $b$-metric spaces
The aim of this paper is to establish and prove some results on common fixed point for a pair of multi-valued mappings in complex valued $b$-metric spaces. Our results generalize and extend a few results in the literature.
متن کاملPPF dependent fixed point theorems for multi-valued mappings in Banach spaces
We prove the existence of PPF dependent coincidence points for a pair of single-valued and multi-valued mappings satisfying generalized contractive conditions in Banach spaces. Furthermore, the PPF dependent fixed point and PPF dependent common fixed point theorems for multi-valued mappings are proved.
متن کامل