Anugyan Nag and Spandan Bhattacharya, eds., Tollygunge to Tollywood : The Bengali Film Industry Reimagined

departmental bulletin pape

Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications

[EN] The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic phi-contraction mappings. With the help of these symmetric mappings, the characterization of completeness of metric spaces given by Cobzas (2016) is extended here for partial metric spaces. The existence of a solution to the Fredholm integral equation is also obtained here via a fixed-point formulation for such mappings.Goswami, N.; Roy, R.; Mishra, VN.; Sánchez Ruiz, LM. (2021). Common Best Proximity Point Results for T-GKT Cyclic f-Contraction Mappings in Partial Metric Spaces with Some Applications. Symmetry (Basel). 13(6):1-13. https://doi.org/10.3390/sym13061098S11313

Cinematic Narrative of Disability in Post Independent India: A Case Study of Mother India

Jenny Morris argues that cultural representations of disability mostly center on the feelings of the non-disabled and their reactions to disability, instead of focusing on the disability itself. Addressing Mehboob Khan’s Mother India (1957), a movie based on an agrarian society of Western Gujarat in the newly independent India, the paper examines the implied meaning of being disabled in a socialist society of India through its cinematic narrations. Post-independent Hindi popular cinema embraced farming life as its fundamental narrative trope to disseminate the idea of a self-sufficient independent nation, especially in the wake of Jawaharlal Nehru's Five-Year Plan for industrial development. Interspersed between nationalism and the myth of socialism, the subject of disability has, however, been overlooked over the years. This paper, thereby, examines the rural/peasant/agrarian nexus within the conflicting cinematic representations of the absent-disabled citizen as a lacuna in this newly emerging independent India

P A SOME FIXED POINT THEOREMS ON THE SUM AND PRODUCT OF OPERATORS IN TENSOR PRODUCT SPACES

Abstract: Let X and Y be Banach spaces and P and Q be two subsets of X and Y respectively. Let T1 : X ⊗γ Y → X and T2 : X ⊗γ Y → Y be two mappings and S be a self mapping on P ⊗Q. Using T1 and T2 we define a self mapping T on X ⊗γ Y . Different conditions under which T + T S + S has a fixed point in P ⊗ Q are established here. Analogous results are also established taking the pair (T1, T2) as (k, k / ) contraction mappings. Again considering X ⊗γ Y as a reflexive Banach space. We derive the conditions for 1 m (T + ST + S), m > 2, m ∈ N, for having a fixed point in P ⊗ Q. Some iteration schemes converging to a fixed point of T + ST + S in P ⊗ Q are also presented here

Best proximity point results for generalized proximal ZZ-contraction mappings in metric spaces and some applications

In this paper, we define generalized proximal Z-contraction mappings of first and second kind in a metric space (X, d). The existence of best proximity point is shown for the defined mappings under some specific conditions which generalizes and extends some existing results of Olgun et al. [23] and Abbas et al. [1]. Suitable examples are given to justify the derived results. Some applications are also shown via fixed point formulation for such mappings in variational inequality problem and homotopy result

Some Results on Fixed Point Theorems in Banach Algebras

Let X be a Banach algebra and D be a nonempty subset of X. Let (T 1, T 2) be a pair of self mappings on D satisfying some specific conditions. Here we discuss different situations for existence of solution of the operator equation u = T 1 uT 2 u in D. Similar results are established in case of reflexive Banach algebra X with the subset D. Again, considering a bounded, open and convex subset B in a uniformly convex Banach algebra X with three self mappings T 1 ,T 2 ,T 3 on B, we derive the conditions for existence of solution of the operator equation u = T 1 uT 2 u + T 3 u in B. Application of some of these results to the tensor product is also shown here with some examples.</p

An Extended S-Iteration Scheme for G-Contractive Type Mappings in b-Metric Spaces with Graph

In this paper, we introduce an extended S-iteration scheme for G-contractive type mappings and prove ∆-convergence as well as strong convergence in a nonempty closed and convex subset of a uniformly convex and complete b-metric space with a directed graph. We also give a numerical example in support of our result and compare the convergence rate between the studied iteration and the modified S-iteration