Fixed Point Results in Dislocated Quasi Metric Spaces
نویسندگان
چکیده
The aim of this article is to prove some fixed point theorems in the context of dislocated quasi metric spaces. We have established a new fixed point theorem in complete dislocated quasi metric space using some new type of rationl contraction conditions. We have also proved a unique fixed point for generalized contraction by omitting the condition of continuity imposed by C. T. Aage and J. N. Salunke[2]. Mathematics Subject Classification: 47H10, 54H25, 55M20
منابع مشابه
FIXED POINT THEOREM FOR INTEGRAL TYPE CONTRACTION QUASI b - METRIC SPACE
Abstract. In this paper, we introduce contractive conditions of integral type in the setting of dislocated quasi b-metric spaces. Using contractive conditions of integral type, we have presented a fixed point theorem in the framework of dislocated quasi b-metric spaces. Our established result generalize and extend various fixed point theorems of the literature in the context of dislocated quasi...
متن کاملSome fixed point results in dislocated quasi metric (dq-metric) spaces
*Correspondence: [email protected] 1Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan Full list of author information is available at the end of the article Abstract The aim of this paper is to investigate some fixed point results in dislocated quasi metric (dq-metric) spaces. Fixed point results for different types of contractive conditions are established, which...
متن کاملFixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...
متن کاملFixed point theorems for generalized quasi-contractions in cone $b$-metric spaces over Banach algebras without the assumption of normality with applications
In this paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the assumption of normality we establish common fixed point theorems for the generalized quasi-contractions with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$ in the set...
متن کاملFixed Point Theorems of Hegedus Contraction Mapping in Some Types of Distance Spaces
In the present paper, we prove some fixed point theorems of Hegedus contraction in some types of distance spaces, dislocated metric space, left dislocated metric space, right dislocated metric space and dislocated quasi-metric metric space which are generalized metrics spaces where self-distances are not necessarily zero.
متن کامل