Some Fixed Point Results by Altering Distances between Points
نویسندگان
چکیده
The theory of fixed point is a very extensive field, which has various applications. This paper is the survey work on some fixed point theorems by altering distances between points in metric space.
منابع مشابه
Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions
In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.
متن کاملCommon Fixed Point Theorem in D-Metric Space via Altering Distances between Points
In this paper, we obtain a fixed point theorem for weakly compatible mappings by altering distances between the points via contractive condition in D-metric spaces. Our work include the results of Bansal, Chugh and Kumar [1], Veerapandi and Chandersekher Rao [14], and Dhage [4]. An example is given at the end to prove the validity of the theorem.
متن کاملFixed Point Theorems by Altering Distances for Occasionally Weakly Compatible Hybrid D-mappings and Applications
The purpose of this paper is to prove a general fixed point theorem by altering distance for two owc pairs hybrid mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in metric spaces by altering distances satisfying an implicit relation, which generalize some results from [1], [6], [9], [21], [27] ...
متن کاملFixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces
In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.
متن کاملFixed point theorems for new J-type mappings in modular spaces
In this paper, we introduce $rho$-altering $J$-type mappings in modular spaces. We prove some fixed point theorems for $rho$-altering and $rho$-altering $J$-type mappings in modular spaces. We also furnish illustrative examples to express relationship between these mappings. As a consequence, the results are applied to the existence of solution of an integral equation arising from an ODE ...
متن کامل