Unique fixed point theorems in dislocated quasi-metric space
In this paper, the existence and uniqueness of a fixed point in a dislocated quasi-metric space a... more In this paper, the existence and uniqueness of a fixed point in a dislocated quasi-metric space are discussed for a single self-mapping using expanding and comparison function in the setting of dislocated quasimetric space. These established results improve and modify some existing results in the literature.
In this paper, we prove some fixed point results for multi-valued contractive mappings in cone b-... more In this paper, we prove some fixed point results for multi-valued contractive mappings in cone b-metric space which is generalization of the fixed point theorems for contractive mappings in cone b-metric space. We conclude examples to support our main results. Hence, our results unify, generalize and complement the comparable results from the current literature.
International Journal of Mathematics Trends and Technology, 2016
S. The theory has several rather well-defined (yet overlapping) branches. The purely topological ... more S. The theory has several rather well-defined (yet overlapping) branches. The purely topological theory as well as those topics which lie on the borderline of topology and functional analysis (e.g. those related to Leray-Schauder theory) have their roots in the celebrated theorem of L. E. J. Brouwer. This paper presents a review of the available literature on fixed point theorems for various types of maps.
Unique fixed point theorems in dislocated quasi-metric space
In this paper, the existence and uniqueness of a fixed point in a dislocated quasi-metric space a... more In this paper, the existence and uniqueness of a fixed point in a dislocated quasi-metric space are discussed for a single self-mapping using expanding and comparison function in the setting of dislocated quasimetric space. These established results improve and modify some existing results in the literature.
In this paper, we prove some fixed point results for multi-valued contractive mappings in cone b-... more In this paper, we prove some fixed point results for multi-valued contractive mappings in cone b-metric space which is generalization of the fixed point theorems for contractive mappings in cone b-metric space. We conclude examples to support our main results. Hence, our results unify, generalize and complement the comparable results from the current literature.
International Journal of Mathematics Trends and Technology, 2016
S. The theory has several rather well-defined (yet overlapping) branches. The purely topological ... more S. The theory has several rather well-defined (yet overlapping) branches. The purely topological theory as well as those topics which lie on the borderline of topology and functional analysis (e.g. those related to Leray-Schauder theory) have their roots in the celebrated theorem of L. E. J. Brouwer. This paper presents a review of the available literature on fixed point theorems for various types of maps.
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Papers by Qazi A Kabir