Fixed Point Theorems in D-metric Space through Semi-compatibility
نویسندگان
چکیده
The objective of this paper is to introduce the notion of semi-compatible maps in D-metric spaces and deduce fixed point theorems through semi-compatibility using orbital concept, which improve extend and generalize the results of Ume and Kim [8], Rhoades [7] and Dhage et. al [6]. All the results of this paper are new. AMS Mathematics Subject Classification (1991): 54H25, 47H10
منابع مشابه
Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself. Moreover, we show that a nonexpansive mapping on a partially ordered Hilbert space has a fixed point lying in the unit ball of the Hilbert space. ...
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 کاملSuzuki-type fixed point theorems for generalized contractive mappings that characterize metric completeness
Inspired by the work of Suzuki in [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861--1869], we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in [M.A. Geraghty, On contractive mappings, Proc. Amer. Math. Soc., 40 (1973), 604--608]an...
متن کاملFixed Point Theorems for semi $lambda$-subadmissible Contractions in b-Metric spaces
Here, a new certain class of contractive mappings in the b-metric spaces is introduced. Some fixed point theorems are proved which generalize and modify the recent results in the literature. As an application, some results in the b-metric spaces endowed with a partial ordered are proved.
متن کامل