Browsing by Author "Kumar, Sanjay"

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Citation - WoS: 1
Citation - Scopus: 3
Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces
(Hindawi Ltd, 2013) Kumar, Sanjay; Bhatia, S. S.; Tas, Kenan; Manro, Saurabh
This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.
Citation - WoS: 12
Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces (Vol 2013, 189321, 2013)
(Hindawi Publishing Corporation, 2014) Manro, Saurabh; Kumar, Sanjay; Bhatia, S. S.; Tas, Kenan
Citation - WoS: 11
Citation - Scopus: 18
Common Fixed Points of Self Maps Satisfying an Integral Type Contractive Condition in Fuzzy Metric Spaces
(Univ Osijek, dept Mathematics, 2010) Murthy, Penumarthy Parvateesam; Taş, Kenan; Kumar, Sanjay; Tas, Kenan; Matematik
In this paper, first we prove fixed point theorems for different variant of compatible maps, satisfying a contractive condition of integral type in fuzzy metric spaces, which improve the results of Branciari [2], Rhoades [33], Kumar et al .[23], Subramanyam [35] and results of various authors cited in the literature of "Fixed Point Theory and Applications". Secondly, we introduce the notion of any kind of weakly compatible maps and prove a fixed point theorem for weakly compatible maps along with the notion of any kind of weakly compatible. At the end, we prove a fixed point theorem using variants of R-Weakly commuting mappings in fuzzy metric spaces.
Citation - WoS: 16
Citation - Scopus: 8
Coupled Common Fixed Point Results Involving a (φ,ψ)-Contractive Condition for Mixed G-Monotone Operators in Partially Ordered Metric Spaces
(Springeropen, 2012) Tas, Kenan; Kumar, Sanjay; Gupta, Neetu; Jain, Manish
In the setting of partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a (phi,psi)-contractive condition for mixed g-monotone operators. Our results extend and generalize the well- known results of Berinde (Nonlinear Anal. TMA 74: 7347-7355, 2011; Nonlinear Anal. TMA 75:3218-3228, 2012) and weaken the contractive conditions involved in the results of Alotaibi et al. (Fixed Point Theory Appl. 2011: 44, 2011), Bhaskar et al. (Nonlinear Anal. TMA 65:1379-1393, 2006), and Luong et al. (Nonlinear Anal. TMA 74:983-992, 2011). The effectiveness of the presented work is validated with the help of suitable examples.
Citation - WoS: 30
Citation - Scopus: 28
Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps Along With Clrg Property in Fuzzy Metric Spaces
(Hindawi Publishing Corporation, 2012) Tas, Kenan; Kumar, Sanjay; Gupta, Neetu; Jain, Manish
The aim of this paper is to extend the notions of E. A. property and CLRg property for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.