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Fixed Points of Different Contractive Type Mappings on Tensor Product Spaces

Dipankar Das1, NilakshiGoswami2
  1. Research Scholar, Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
  2. Assistant Professor, Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India
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International Journal of Innovative Research in Science, Engineering and Technology

Abstract

In this paper, we derive some fixed point theorems in the projective tensor product ) of two Banach spaces X and Y. Using two mappings and , we construct a self-mapping T on . Taking and as different contractive type mappings, we study the characteristics of the mapping T and the existence and the uniqueness of the fixed point of T in the closed unit ball of . The converse of this result is also discussed here.

Keywords
projective tensor product, contractive type mappings, asymptotically regular property

I. INTRODUCTION
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II. MAIN RESULTS
The following Lemma plays an important role in proving our main results.
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III. CONCLUSION
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